Good morning. Good morning. I hope everyone's well. It's the 29th of September. It's just gone 8am and Bond is back People it's been a long wait So Daniel Craig has come off furlough furlough being the UK government's emergency support system for workers in businesses that got impacted by the Coronavirus so Bond was supposed to be released in 2020 We've had it got delayed and it got delayed and it got delayed and it's here So Daniel Craig he actually officially has come off furlough two days early because furlough in the UK doesn't end until tomorrow But the worldwide premiere in Leicester Square last night. Yeah, most of the royal family pitching out come and watch it This is the 27th movie. It's actually one of the world's biggest movie franchises MGM's jewel in their crown and a franchise that they rely on a huge portion of their revenues for So it's the 27th installment Did you know there's been 12 actors? There's been 12 bonds Daniel Craig This is his last movie is fifth and final There's only one actor that has starred in more James Bond films than Daniel Craig Who do you think it is? Put it in the comments below. Let's see if you know but yeah The the great irony about this movie without any major spoiler alerts It got delayed because of a worldwide pandemic a virus that you know as corona virus It got the movie got delayed because of the virus The great irony is the storyline of the movie is that the baddie is threatening to release a man-made virus on to the planet you I was about to say you couldn't have written the script except they did Anyway, so bond last night. Thank God. Go and see it. It's been a long time. So from one from one bond to another The links here amplify are seamless. Let's talk about the other bond That's the bond markets because what we had yesterday and yesterday's session You might have seen some of the headlines this morning headlines such as You know stocks lowest so the downside of rising rates for tech stocks And we had a sharp sell-off into the close last night to the US close So equity markets down all three major indices heavily lower NASDAQ leading it NASDAQ down over 2% and this chart is why You know why our stocks under pressure here and certainly the NASDAQ more than others because bond yields are rising Here you've got the UK the US the German tenure bond yields So the US bond yield up above 1.5% now Interestingly the UK one broke that 1% handle. Look, these are the highest for the year as you can see Not quite highest for the year for German boons and they're obviously languishing below zero. Let's forget that look US and UK bonds on the up. Why are they on the up? They're on the up because of inflation We've been worried about inflation Remaining high remaining higher for longer that whole transitory argument that I was peddling as well as a load of other people It looks like inflation's not as transitory as we had thought and what's exacerbating that is the current energy price crisis That I talked about in yesterday's briefing if you're not up to speed on the energy price crisis watch yesterday's briefing Particularly in the UK and you'd say that the UK is the one that's on the up more than others That's the one that's making it a 2021 high here US yields were higher back in the spring by the way But this is because you know the the fuel crisis here in the UK is exacerbating things even more, right? So so inflation's on the up which is driving yields higher So why does that have an impact more on the Nasdaq than other? Stop markets. Let's go and have a look at this because this is the daily chart and the red candle here Is yesterday session where we had some steep downside into the close last night. You can see it's recovering I'll talk about that in a bit, but that's the s&p, right? But check out the Nasdaq which came off a lot more if I just zoom in on this chart a little bit It came off a lot more steeply and the Nasdaq was easily the worst performing out of the big three the s&p in the Down the Nasdaq Nasdaq was the big loser yesterday and actually broke and made a new low for the month Yes, it's recovering now. It also this line I've got in here very key technically 14 Can I just put a number in your minds? 14,700 on the Nasdaq really important for a number of reasons. It was the August low But if we zoom back on this chart I've drawn a trend line. Let me go back even further the Coronavirus recovery trend line. Let's call it coming from the spring of 2020 low to now is being tested Okay, and if we go back to the daily chart not only that this blue line is the 100 day moving average If I scoot back then this 100 day moving average has been a really good All right, it's been a little bit messy and choppy at times But in the main it's been a really good support for this trend higher for more than 12 months now We flirted with it on a few occasions September 2020 November 2020 March 21 You've done it in May 21 and we're just sneaking down towards it again here So you kind of got three technical scenarios by zoom back in at 14 around the 14,700 marker it's the August low is the coronavirus upward trend line That's really been broken on this daily Chart for now and then you got the 100 day moving average. Okay, so it's tech stocks under pressure Well, why are they under pressure more so than other stocks? Well, if we come and look at the the heat map Which is looking at the different sectors in US stocks and remember on this heat map the size of the square Represents the market cap of the company so the bigger the square the bigger the company That's why you've got your big tech giants Microsoft Apple Google Facebook Amazon standing out here because they're the biggest companies and they all got hammered yesterday So why are these tech stocks getting hammered? Well, it's all about a growth versus value play So this whole growth Investing strategy which has worked very well since the coronavirus first hit back in the spring of 2020 Growth investing is all about as the name suggests investing in companies future growth All right You're buying a company share now because you're expecting that company to deliver future revenue growth and then future profit Okay, so that growth investing is about the future But the problem with inflation rising Inflation rising erodes the value of money over time. So basically higher inflation expectations is eroding the Value of those future Growth that the future growth revenue and any future earnings of future profits, okay? So that's why the growth stocks tend to get hit when we're worried about inflation What happens when we're worried about inflation bond yields go up. So you've got a very clear Inverse correlation between bond yields and growth stocks and this played out perfectly into the close last night Sharp upside on yields remember when bond yields are going up bond prices are going down So if we go and have a look at the the chart here and look at the bottom left and I'll go to a t-notes Daily you've had another steep look four days in a row of very steep Moves to the downside here as yields climb sharply keep technical break out of that summer level If we go to a weekly chart I just want to point out the big level for t-notes on the downside is the low of the year which is down at 13026 UK Guilts Prices broke the low of the year yesterday. Okay, so you've got big moves and when these yields start moving sharply It has more of an impact on investor sentiment around those growth stocks Okay, so if we go back to the heat map actually what we saw in amongst here I know most of it looks red because the big tech stocks are red and they got hammered But you can find some if you take some of the if you take the opposite to growth then well That's value investing and so that's where you're investing in stocks that you're not necessarily expecting revenue growth from But they've got stable revenues that most likely won't go down If economic momentum drops like health care is a great example also the beauty of value stocks is they generally pay dividends Right, so look at Johnson and Johnson. So as you got Microsoft down 3.6 percent Johnson and Johnson basically flat Okay, they did go down but only by 0.22 percent Look in here. You got Merck that actually were flat Okay, and then in here you can find some pockets of actual green while the energy sector was nice and positive given what's happening with the oil Price at the moment, but if you come across look at utilities, they were much better off than These the tech sector but look at telecommunications here Google and Facebook fine But if you look at telecom which is more of a historical kind of defensive you come down to that electronic area You had some decent upside for active vision and for electronic arts So you do get some greens in amongst here in terms of the defensives So yeah interesting kind of sector rotation in yesterday's session Right other stuff. I'm going to talk about in the briefing or not that you on oil We're going to talk evergram. We're going to talk Tesla and we're going to talk the Fed. Okay, so Next up. Let's talk oil So we had some data last night out of the what we call the API This is a private company that tries to measure The week the change in weekly crude oil stockpiles Okay, and what they said last night was unsurprisingly the level of stockpiles went up So we call this a build in US crude oil Inventories. Okay, so think about it from a supply point of view normally if supplies rising well That's negative for price. Well, let's go and have a look at price on the chart here So if we look at crude oil and let me make this a little bigger. Obviously crude has been on the up Let's start with the daily chart just to remind you. I'm not going to go through this 77 dollars I spoke about this at length in yesterday's briefing if you want to know why 77 so important other than the fact It's the summer high. It's way more important than that though if you want to know why go and have a look at yesterday's briefing But look, we had some downside yesterday This is quite a bearish candle from a kind of technical point of view if you're looking at it in isolation But if we go to a 60 minute chart, then we had some downside into the close yesterday Anyway, and that's just because stocks were selling off so we had a bit of negative sentiment But then this candle right here because this data was announced at 9 30 p.m London time last night more all than expected So this continued the downside trend which has been going on throughout the the Asian session We've bounced a little bit now as Europe has woken up What we're looking for today at 3 30 p.m. Is an update from the Department of Energy So that's the US Government version of the same measure have oil inventories gone up or down in the last one week The thing about the Department of Energy figure Supply has been dropping week on week for eight weeks in a row So this number last night is perhaps suggesting maybe that Department of Energy number Delivered at 3 30 might show a build for the first time in eight weeks But let's say let's see but at the moment things have stabilized You know, I'd say this downside for oil, you know, is this the end of the rally? Personally, I don't think so and that's because some of those Demand and supply issues I talked about yesterday are very much still in play doesn't matter what the API said last night Those things are very much still in play and for me are still positive catalyst, but we'll see how that plays out Okay Let's move back to our headlines. What's up next ice purposely didn't talk about Evergrande yesterday You guys who listen to our stuff on a daily or weekly basis. We've been talking a lot about Evergrande I purposely kind of left it out, but look, I've got to update you Evergrande have raised capital They've raised 1.5 billion This is obviously as debt payments are looming and they've raised 1.5 billion I mean, how have they managed to do that? Well, they've sold a 20% stake in the state-owned Sheng Jing Bank, this is a bank that's based up in the northern city of Sheng Yang and they've sold it to Well, the Sheng Yang Sheng Jing Finance Investment Group Call it the government. So they basically sold this state back to the government, right? So they've raised 1.5 billion Q a rally in Evergrande shares. They're up 10% Overnight except I think this is ridiculous. Is that rally going to continue in my opinion? No It's what I would call a dead cat bounce. That means it's a massive sell-off small recovery Which may get some people excited, but then that recovery phase and we continue to sell off Why do I think this well the headline looks great and as a reminder? What's the story here in terms of their debt obligations? Well last week on Tuesday, they had a domestic bond Interest payment worth 35.9 million. Okay, they missed it. They didn't pay it But they came to some form of agreement with domestic investors. We had zero information about that agreement So who the hell knows what happened now with dollar denominated debt and Evergrande have got a lot of that And that's with international investors. There's they can't get away with kind of Sweeping it under the carpet and keeping it quiet. So on the dollar Denominated debt they had an interest payment on Thursday worth 83.5 billion Billion million which they missed and they have not paid now. They've got another Dollar denominated bond interest payment tomorrow worth 47.5 million dollars and it looks like now So are they going to use this 1.5 billion to pay this debt or these interest payments? And the answer to that is No, they're going to use zero of it. Why? Well, this is where the Chinese government is coming in and what the Chinese government have done They've kind of pushed people into Evergrande. It looks like the government has In a way taken control Certainly of the finances and remember what the government strategy is the government wants to protect the Chinese people you got a lot of people hanging on this crisis because you've got Chinese people that have bought flats off plan that haven't been built yet So they put a lot of money in and they've got nothing for it. You got a lot of suppliers. That's Chinese companies Property developer companies that are owed a lot of money You've also got a lot of Chinese customers who have invested in Evergrande's finance arm where they've got wealth management Products which has been another way of funding their cash flow by the way But you got a lot of people on the on the hook for a lot of wealth products You've got a huge amount of Chinese Life-savings Invested in Evergrande wealth products never mind people have bought flats, right? So the Chinese government strategy is to make sure they don't get hurt or to limit the damage So what they want to do in my opinion They know what the Chinese government doesn't want to see any cash coming out of Evergrande to international bondholders They want that cash first and foremost to be used to protect the Chinese consumer So it might so what's happening here is the government's now going right? What do you own? What assets do you have Evergrande that we can absorb back and certainly anything that Evergrande owned Which is stakes in state owned entities while you can think that they're going right They're going back to the government and that money that could have been used to pay bondholders It's going to go towards protecting the Chinese people So if I was a bondholder an international bondholder in Evergrande, this news overnight is not good Even though on the headline it looks great It's the opposite to great and in my opinion shows that the Chinese government is definitely getting stepping up the pace To make sure that no money goes out of the country Until Chinese people are protected and I'd say there's not enough money to protect Chinese people So how much is going to go out to international investors? I think it's going to be a big fat zero But let's see that's the Evergrande update ironically the share price is up 10% off the back of this So you've had some positive vibes and look that's helped if you look at I mean, I'm not just saying it's an Evergrande thing here I've got I think you're getting a little bit of You know buying the dip as Europe opens here And so we've got to move to the upside for now on stocks as they try and recover some of that downside from yesterday's session Other in other news Tesla Let's give you an update. You might have seen Tesla if I go if I go to the my heat map Then you might have seen over the last couple of days So if my heat laps good my heat map is going to load for me here Tesla over the last couple of days I'll just go to the headline Tesla over the last couple of days has had some strong upside not yesterday though In the end yesterday, Tesla got hurt by that yields higher growth stocks lower thing because Tesla's big time of growth stock You know, it's all about the future profitability of Tesla's car sales. They don't make any profit at the moment, right? But some of the news this week that's been really interesting is that Tesla have launched an update to their Self-drive software and this is really interesting because they're going to now try and channel this into Really a new revenue stream and a revenue stream that Tesla are really well placed to take advantage of which other car Manufacturers are not and that is charging their customers with software updates So check this out if you own a Tesla and you want the software update in your vehicle this self-drive software update You've got two choices. You're either paid $10,000 One-off payment or you do a monthly subscription and the monthly subscription is a hundred and ninety nine dollars per month Now there's three hundred and sixty thousand Tesla customers that could qualify for this Let's just say hypothetically all of them went for the monthly subscription Clearly they won't but let's just say for fun then actually that would lead to seventy one $1.6 million per month in additional revenue. So this is now positioning Tesla into that whole whole Subscription play the likes of Netflix and Disney and all the rest of them You know, it's all about subscriptions and users user numbers and subscriptions, right? And so this is Tesla moving into that kind of space quite an interesting development It'll be interesting to get some stats on the uptake of this software Subscription in the months to come if Tesla tell us which which I doubt they will to be honest unless the uptakes amazing Of course and they'll and then Musk will be tweeting about it left right and center I'm going to end on the Fed. I can't not talk about the Fed here because two Fed members have resigned or They're retiring or they're resigning because of what they call health issues.  They've been caught with their hand in the register Rosengren and Kaplan have been buying financial assets. They've been investing in throughout 2020 Which is a massive no-no, and it's in the legal contract of employment is a massive no-no if you're a government official especially if you're a government official whose job is to control a Policy that has a very powerful and direct impact on asset prices Think about it. If you're on the FOMC chatting away with your colleagues and Jay Powell. Oh guys I think we're gonna have to go with a let's say it's the spring. Let's say it's March 2020 We've got this coronavirus crisis and you guys are discussing right? Let's go with a massive QE program way above anybody's Expectations just to land a solid punch and put a floor in this stock market Let's go for it and then Rosengren and Kaplan trot off quickly and get on their phone and start buying stocks They're actually also buying they weren't just buying stocks either. They're buying mortgage-backed securities They're buying treasuries the exact assets that the Fed themselves are buying so quickly get on your phone I'll buy a little bit of that buy a little bit of that great now J power next to the world and bang everything goes up so these I mean These guys should go to jail for this and and yet they're being retired because of health reasons It's ridiculous in my opinion, but look, what does it mean for policy forget these guys as individuals? What does it mean for policy? Well, actually these guys are both Hawks. They're hawkish members of the FOMC and they're both coming off that that committee Does this alter taper timing? I don't think so. I think the taper timing set I reckon the Fed have already set it and they're going to announce it at their November meeting So I think this isn't going to impact that but you might go a bit further than the start of tapering and start to think further Right, how quickly is tapering going to happen? When is tapering going to end and remember the slightly hawkish tilt to the Fed meeting from last week was that they pal suggested that as an edge case Tapering might end by the middle of next year, which is a much faster taper than we were thinking so that was a bit hawkish So will that happen if these two guys come off the committee? Well, it depends who replaces them So that's going to be key who replaces these guys are they going to be two other Hawks in which case fine We're on the same track. Do they get replaced by doves in which case? Ah, hang on maybe tapering will take longer Then you got to start thinking about rate hikes when they start and how quick they're going to be and how does that Impact on the dot plot so there may be some monetary policy Kind of angles to this looking further out into the future, but near term I don't think this will alter the fact that the Fed are going to announce tapering in November But something to keep your eye on we'll talk finally on the Fed We'll talk about this in more depth in the weeks to come But as we get into 2022 Jay Powell is hitting the end of his first term is four-year cycle Now normally well normally Fed presidents have two terms obviously it depends though They've got to be that's going to be signed off by Congress and at the moment There's a big argument going on in Congress and Jay Powell's in Congress yesterday getting another slating But there's a lot of people in Congress that don't want power To have a second term So there is a risk that we will have a new Fed president at the start of 2022 So actually there could be big change here both Rosenground and Kaplan off Jay Powell also may be coming off We'll see he might get re-elected, but that's something that's another Uncertainty with regards to the Fed that we'll talk about in more depth later on But look I'll finish off by going back to the charts and then we'll look at the data I haven't talked about currencies yet Let me have a look at this because actually the pound is on the move. I'm going to start on a daily chart here Let me just change this quickly The pound was on the move yesterday So finally you've actually had a little bit of evidence that this whole fuel crisis situation is having an impact on asset prices So the pound was lower if you're not in the UK listen to my briefing from yesterday to get a full update on it But yesterday we still had massive queues into petrol stations and it's creating a massive disruption Twofold there's huge amounts of traffic because there's so many queues going into petrol stations Which is preventing people from getting places and also there's a risk that people then can't fill up And that means if you can't fill up and you're in a job where you need to drive somewhere Well, maybe that's going to impact your ability to do your job We've got a real risk about emergency service vehicles not being able to drive So this in the short term is still playing out and it kind of had negative impact on the pan yesterday Broke below the summer lows so a key technical break here If I go to a weekly chart then you'll see that they're just below that and we haven't when we're testing it as I speak the 135 handle really important for cable and that was the high coming into the end of 2019 the December 2019 high Retested in the summer of 2020. Yeah, okay, we then broke it over the Christmas But here we are testing it really big level on the 135 handle Okay, so your key levels and there's three of them big technical levels in my mind at least one thirty five on cable 77 dollars on oil 14 14 700 on the nest act These are your big three prices and if any of these break then you should expect continued accelerated moves, okay? Let me put that back in its place. We'll just quickly have a look at the euro dollar Just for completeness because yeah, that's the other level one 16 85 1668 which is the low of the year for euro dollar and we're sneaking down and we've just tested it this morning Okay, so keep your eye on that one as well And just below that you've got and that's the 2021 low at the moment by the way that August level I just mentioned and below that you've got Q4 low, which is down nearer to that 116 handle Okay, I'm going to finish off with the data calendar here There's not too much. I have to say we've had some flash kind of Inflation figures out of the likes of Germany and Spain earlier But you got some sentiment figures out of the at the Eurozone these tend to not really move the dial particularly much Now we had some bad consumer confidence data in the US yesterday actually which did help with that downside I've spoken about the oil inventory data. That's happening at 330 So the only thing I mean you got the Japanese elections as well to keep your eye on but the only other thing to mention is we've Got day two of Cintra. That's the ECB's monetary policy conference plenty of speakers as you can see here Maybe the most interesting will be this panel discussion. It's kicking off at 445 London time You've got Powell. You've got Lagarde. You've got Corroda. You've got Bailey. You've got the big four They sat on a stage last year at this conference and it didn't throw up much of interest in terms of Their individual monetary policy stances and what policy might look like that they gave no hints to future policy moves So it wasn't a market moving event. It was really interesting to listen to you, but didn't really move markets I'd expect the same today. However, you've got to be watching this Because you never know and it might be that one of them says something about their future policy moves that does have an impact So Let's just wait and see. Okay guys, that's it for the briefing for today Have a good session


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Oh, right my friends what is going on and welcome back to another rugby player reacts video today? We're looking at OBJ. I really don't think we need to look at a stats But we might if something comes up in this video we might but I'm thinking this one's gonna be short and sweet straight to the point And that's what you guys want. So let's do it Best player at your position in the NFL right now. Oh DJ shark I'm gonna have to go with old girl. How does he make fantastic way in after batter catches on the top Yeah, but he wouldn't done that without the gloves Apparently, that's what Jerry Rice said anyway Yeah, he's got I think he ran a three. No, sorry a four four one or a four three nine Now when you think about that that is elite speed and if you've got that as a wide receiver plus the jukes Plus the handles. Now this guy is is elite. He's swift. He's elite and he is injured right now. So let's continue a Lot of people didn't think he'd he'd last this long With the Browns he get in and out of cuts and tackles The way here spin back in make moves and get extra yards nice Hey, ladies, I knew that was coming open space Shacks him with the left then gives him the right I'll get some ball in his hands. You think there's a chance for this square every time You know with the Jets game this year we call a little slanted to get in the RC on the burst Let's watch that again. You know with the Jets game this year. We come look at that Literally well, he did have to turn around for it But he didn't lose any speed whatsoever You would not have thought that he'd run it out run all of those players Damn, that's a nice touchdown Odell Obviously his numbers aren't where he would like or what you're used to seeing Aside from one injury plague season Odell Beckham Jr.'s lowest top 100 ranking was 32 Following his first campaign in Cleveland Beckham drops 36 spots from last year's countdown He's still one of the most respected receivers As you see on tape a lot of people are game planning for them and their game plans have to adjust because of the Attention that he's getting this is where I would start to use a bell I Let's have a look at that again. So he's got two. It's a two on one. Now. Who's that leaving open? No one really But what they do have is a big strong tight end On a corner bet Just having him on the team From your job the cream hot Jarvis we spread the ball for everybody I just want to be the very best that I can for this team be the leader I will say something. I don't know who started the whole cross, you know, a little dangling airing.  You want their meshing bro Jarvis Landry And Odell Beckham jr. Are you kidding me? Literally just as good as each other Now Richard Sherman, he's all over the place. He is giving everyone kudos, bro Even if he gets scored on he's going to get up. He's going to smile at you and say respect I respect that but do some people out there think that he's just a little bit too nice I haven't inkling that that might be the case Today obviously Gilmore is our old bj a lot That's a great competitor.  It's it's very very calming Um, steph on Gilmore talking. In fact, I I hope that we hear him talk now Yeah, I had the tough task of guarding him one-on-one pretty much the whole game and imagine how the We could practice and when I was trying to prepare for him white came up and looked like he was going to be a press coverage He backed off and Odell just friend will work out on him.  He pretty much did How does that work? Stop him completely Listen to the crowd bro Listen to the crowd. Okay for all of you obj Fans out there. We do want to have some stats. Why not? But there is really no reason to continue this video It's probably gone for about six minutes um Odell Cornelius jr Is 28 years of age 5 foot 11 198 pounds 12th pick in the first round of the 2014 draft he went to LSU. He's played for the Giants And the Browns. He is now injured of course. In fact, let's just get his 20 2019 stats for a start. They were down, but he was still Number 58 on the list 16 games 16 games started 74 receptions for a thousand and 35 yards An average of 14 yards per reception longest of 89 for a touchdown, which we saw four touchdowns, which is his lowest In a full regular season so far In one fumble, which he lost So overall guys, he's played at this at this very moment. He is injured. He's only played seven games this year He's not coming back till next year, right? So he's done for the season 82 games In total 487 receptions 6,830 yards over one two three four five six seven Seasons, I mean look at his first three. See that that is why he burst onto the scene, right? 1300 1450 1367 the next year with the Giants. He was injured I assume I wasn't actually watching it at that point, but then the year after that he came back In his last year for the Giants scored another thousand yards went to Cleveland scored a thousand yards now this year he's only going to reach 319 which is down But his average per reception is still up there around about 14 So he's doing okay. He scored three touchdowns this year bringing his total to 51. Okay Let's move on in the next video guys. We're looking at Kurt Cousins He's the quarterback for the Vikings. Um, Kurt Cousins. What do I think about when I think of him? I think about a purple uniform. I think about a white guy In a purple helmet and that's really all I've got to say so guys. Thanks for watching. I will see you in the next one Peace out


Ukraine's President Volodymyr Zelensky signals willingness to compromise, while Russia's foreign minister says direct talks between the Russian and Ukrainian presidents would be counterproductive. China places heavy COVID-19 restrictions on Shanghai, including testing requirements and travel bans, as case numbers there rise. Media in North Korea report leader Kim Jong-un says his country will continue to develop powerful weapons and will not trade or sell them for anything. And G20 chair Indonesia starts talks on new health policies for international travel at a meeting of the world's major economies.


Hi and welcome to the session. I am Asha and I am going to help you with the following question which says if a and b are the roots of x square minus 3x plus b is equal to 0 and c and d are roots of x square minus 12x plus q is equal to 0 where a, b, c, d form a gp proved that q plus b is to q minus b is equal to 17 is to 15. So first let us learn that if we have a quadratic equation of the form ax square plus bx plus c is equal to 0 tan beta are roots of this equation then sum of roots that is alpha plus beta is given by minus p upon a and product of roots is given by c upon a. So with the help of this idea we are going to solve the above problem so this is our key idea. Let us now begin with the solution. Now here we are given a and b roots of equation x square minus 3x plus p is equal to 0. So by our key idea this implies that a plus b is equal to 3 and a into b is equal to p plus b equation number 1. Now also we are given that c and d are roots of x square minus 12x plus q is equal to 0. So again by our key idea this implies that c plus d is equal to 12 and the product of roots 3 into d is equal to q. So this is the first point we are given this one is second and third we are also given that a, b, c and d are in gp. So this implies b upon a is equal to c upon b is equal to d upon c and let these three ratios be equal to r. So this implies b is equal to a r, c is equal to b r and d is equal to c r. So let this be equation number 2 and these be equation numbers 3. Now this further implies that c is equal to a r square and d is equal to a r cube and we have to show that q plus p is to q minus p is equal to 17 is to 15.  So we have c is equal to a r square d is a r cube plus a into b is a r upon in the denominator we have a r square into a r cube minus a into a r. This is already equal to a square r raised to the power 5 plus a square r upon a square r raised to the power 5 minus a square r. Now taking a square r common we have r raised to the power 4 plus 1 upon a square r into r raised to the power 4 minus 1. On cancelling we have r raised to the power 4 plus 1 upon r raised to the power 4 minus 1. So this is the value of q plus p upon q minus p. Now we will find the value of r to get the value of this ratio. So let this be equation number 4. From equation 1 and 2 we have a plus b is equal to 3 and c plus d is equal to 12. Now a as it is, b is equal to ar is equal to 3 and c is ar square and d is ar cube. So this is equal to 12. Now let us divide a plus b upon c plus d. So this is equal to 3 upon 12 or we have a plus ar upon. Ar square plus ar cube is equal to 3 upon 12 or taking a common we have 1 plus r and from the denominator taking ar square common we have 1 plus r is equal to 1 upon 4 or this implies 1 upon r square is equal to 1 upon 4 or r is equal to plus minus 2.  So we have 2 raised to the power 4 plus 1 upon 2 raised to the power 4 minus 1. So this is equal to 17 upon 15 Now substituting r is equal to minus 2 in equation 4 again we have q plus p upon q minus p is equal to r raised to the power 4 plus 1 upon r raised to the power 4 minus 1. So we have minus 2 raised to the power 4 plus 1 upon minus 2 raised to the power 4 minus 1. So this is again equal to 17 upon 15. Therefore ratio q plus p is equal to 17 is to 15. So this completes the session. Take care and bye for now.


Hello there, this is a video covering module 8.2 sample hypothesis testing. Previously we looked at only one population, meaning one population proportion, and we ran a hypothesis test to determine what its value was. Well now we're going to look at two population proportions and compare them, and we'll also look at two population means and compare them. So first we'll start off with two proportions. To use the method we're about to use, the following requirements must hold. You must have proportions from two simple random samples that are independent. And for each of the two samples, the number of successes is at least five, and the number of failures is at least five. So you must have at least five of each observation that you're looking at in the samples. So to conduct a hypothesis test for two proportions, we will definitely use Google Sheets, we'll go to the data list tab, and we'll go to the region that says two proportion confidence interval p value. And we'll literally type in summary statistics for the two pieces of data, for the two populations I should say the two samples we're using. So for population one, p sub one represents the population proportion for group one or population one, and sub one means to sample size of group one, x sub one is the number of successes or observations in the sample for a particular characteristic, p hat sub one is the sample proportion for group one, q hat sub one is one minus p hat sub one. And so all of those little subscripts of one mean these are the, this is the information for population one. And then the corresponding notations of subscripts two represent the information for population two. So subscripts are key for organizing your data that you have. So the null hypothesis to use, remember the null hypothesis H naught is always equal to. So we say the proportion for group one is equal to the proportion for group two. And where this p sub one equals p sub two comes from is remember if there's no difference in two things, if we subtract two things and we get a difference of zero that means there is no difference. That means the two quantities are equal to each other. That's where the p sub one equals p sub two comes from. Also it's always important to write p sub one on the left to avoid errors when you're inputting your data into the spreadsheets or whatever technology you're using. And then we'll look at a p value, we'll compare it to alpha, if the p values less than or equal to alpha then we reject a null hypothesis. So I have 89 undergraduates that were randomly assigned to two groups. They were given a dollar in two different forms then given a choice to keep the money or buy gum or mitts. The claim is that money in large denominations is less likely to be spent than an equal amount of money in smaller denominations. We're going to test the claim at the .05 significance level. So here I have my information and the claim is that money in large denominations is less likely to be spent than an equal amount of money in smaller denominations. So I have group one, this is the group that was given a dollar bill and then I have group two. This is the group that was given smaller denominations, four quarters in this case. So when you look at your hypothesis, your null hypothesis is the proportion for group one that spent the money is equal to the proportion in group two that spent the money. And then your alternative hypothesis is the proportion that spent the money in group one is less than the proportion that spent the money in group two. The larger denominations the proportion that spent is less likely, so it's less than the proportion that spent in group two. And of course our claim is the alternative hypothesis. So literally all I have to do is I go to Google Sheets and I input the number of observations from group one which is 12, the sample size from group one which is 46. And then for group two I'll enter 27 for the number of observations x2 and then the sample size of 43. And the only other thing that you'll have to input is the alternative hypothesis sign which is less than. So let's enter those values now in the Google Sheets and let's get that p-value. So we're going to the data list tab to the two proportion confidence interval p-value region. So for group one, the people that got the dollar bill you have 12 out of 46 people that spent the money. In group two you had 27 out of 43 people and changed the alternative hypothesis sign to less than. Group one's proportion is less than group two's proportion. You only care about for a hypothesis test the p-value of 0.002. p-values are typically to four decimal places, 0.0002. So my p-value is equal to 0.0002. So how does that compare to alpha? How does that compare to our significance level of 0.05? Well, 0.002 is clearly less than 0.05 so we reject the null hypothesis. So the null hypothesis is rejected so long. So then since that's rejected, all eyes now point to our alternative hypothesis to our claim and we say the following. There is sufficient evidence to support the claim that money in large denominations is less likely to be spent than an equal amount of money in smaller denominations. You can also do confidence intervals for two proportions. It's literally going to be the same process except you now have to enter the confidence level into Google Sheets. So for a two-tailed test, the confidence level is always 1 minus alpha. For a left-tailed or a right-tailed test, the confidence level is 1 minus 2 times alpha because you have those two tails and you're focused on the middle whatever percentage of data values or sample mean values or sample proportion values in this case. So like I said, Google Sheets will go to the same spot and then we'll have to make sure we enter the confidence level. So construct a 90% confidence interval estimate of the difference between the two population proportions in the previous example. So they went ahead and just gave us the confidence level and that's the easiest way to solve these types of questions is when they give you the confidence level directly, it's as easy as just literally typing it into Google Sheets. So confidence level is 90% or 0.9, 0.90 however you want to do it. So in Google Sheets, all you have to do is go to confidence level and type in 0.9. Look at your lower limit, look at your upper limit and you'll see that you have, we'll do three decimal places, negative 0.528 and negative 0.206. That's kind of cool. So I had negative 0.528 and then I had negative 0.206. So the interpretation is with confidence level 90%, the difference between the proportions of the two groups is between negative 0.528, negative 0.206. So also logically 0 is not in the interval, so a difference likely exists. Two things have a difference of 0, then there is no difference, 9 minus 9 is 0. But if 0 is not in the interval, a difference likely exists. So now we're going to go through and do a hypothesis test and do a confidence interval and see what we can conclude. So among 450 workers surveyed in a poll, 40% said it was seriously unethical to monitor employee email. Among 120 senior level managers, 30% said that it was seriously unethical to monitor employee email. So we have two groups here, we have workers, we have the managers. Consider the claim, that's a hypothesis test keyword there, claim that for those saying that monitoring email is seriously unethical, the proportion of workers is the same as the proportion of managers. We're going to use a 0.01 significance level. So in this example, I just need to identify who's group one and who's group two first. Group one, let's let those be the workers and then group two, let those be our managers. All right, so for the hypothesis test, first thing to note would be the hypotheses. The hypotheses would always be for the null, it's always the first group's proportion is equal to the second group's proportion. And in this case, that's actually the claim that was mentioned in the question. Remember, the alternative is always the exact opposite. So the proportions are not equal to each other. All right, so what your goal is is you're going to type in the number of observations for group one and the sample size of group one and to Google Sheets. So for group one, 40% said it was seriously unethical. Well, how do you find 40% of 450? Our sample size is 450. We need to find 40% of that. Well, 450 times 0.4 is going to give you 180. For group two, you're going to have 120 times 0.3 because 30% of the managers said it was seriously unethical and 120 times 0.3 is actually 36. And we already know the sample size for group two. For the managers, it was 120. There's your information you need for your Google Sheets. So for your interval, for our interval, this is a two-tailed test. Why is it two-tailed? Because the hypothesis uses not equal to. Therefore, my confidence level will be 1 minus my significance level. 1 minus 0.01, that's my significant significance level. So 0.99. Another value will type in Google Sheets. Let's go to Google Sheets now and type in this information. Remember, we're on the Daedalus tab in the two-proportion confidence interval p-value region. So for my first group, it's important to note that 180 out of 450. The email was unethical. In group two, we had 36 out of 120. That's my manager group. Our alternative hypothesis sign was not equal to and the confidence level was 0.99. Note you have a p-value here, 0.0448. And note that you have your confidence interval lower limit and confidence interval upper limit, negative 0.023 and 0.223. So let's write those answers down now. So our p-value is equal to 0.0448. We're going to compare that to alpha. So 0.0448, let's compare it to the significance level 0.01. 0.0448 is actually greater than 0.01. Not under that limbo bar, we fail to reject the null hypothesis. So we fail to reject our claim in this case. We'll write our statement in just a moment. And for confidence interval, it's important to note that we got negative 0.023 and then we got 0.223, which means the following zero is in the interval. So there is no difference in the population proportions. So that's the direct interpretation of the interval in terms of answering what can you conclude. So now let's write the hypothesis test summary statement and the confidence interval summary statement. Alright, so for the hypothesis test, there is not sufficient evidence to warrant rejection of the claim that the proportion of workers who say monitoring email is seriously unethical is the same as the proportion of managers. And that structure of the statement can be found in the module seven videos. It's the table with four rows and it shows you Senate structure based on what you do to the null hypothesis and where your claim is located. And for the confidence interval with confidence level 99%, the difference between the proportion of workers and managers who say monitoring email is seriously unethical is between negative 0.023 and 0.223. If you want to write these down, feel free to pause the video. Lastly, looking at seat belts, a simple random sample of front seat occupants involved in car crashes is obtained among 2823 or 2823 occupants not wearing a seat belt, 31 were killed and among 7,765 occupants wearing seat belts only 16 were killed. Let's use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Alright, so let's look at the hypothesis test. After I identify who's my group one and who's my group two. So group one is actually going to be those that were wearing no seat belt. So it's the proportion of deaths of those that were not wearing a seat belt and group two will be those that wore a seat belt. Literally, I just labeled them in the order which the question presented the groups. So for my test, I'm looking at my claim of seat belts are effective in reducing fatalities. So what that would mean is the following seat belts were effective. Then the proportion of people that died from not wearing a seat belt would be much greater than the proportion that died from wearing a seat belt. So the no seat belt deaths will be more than the seat belt wearer deaths. So this actually goes with my alternative hypothesis because it contains greater than and remember the null is always going to be equal to and you always write group one on the left to avoid mixing up your data and typing it in the wrong spots for the wrong group. Alright, so my claim is going to be the alternative hypothesis. That's what they described in the question. Alright, so now on Google Sheets x1 and n1 x2 and n2. Alright, so in group one out of 2823 occupants 31 were killed. That's my non seat belt wears in group two out of 7,765 people. We had 16 that were killed and your h1 sign is greater than. We'll type that in the Google Sheets. Alright, so now my interval my confidence interval. This is a one tailed test. Therefore my confidence level will be one minus two times your significance level one minus two times point zero five. So it's going to be point nine. That's what we need for Google Sheets. I let it all the important information. Let's now type it into the Google Sheets spreadsheet. Alright, so what I'm going to do in my box is I'm going to type in I had 31 out of 2823 people in group one that died and then I had 16 out of 7,765 in group two. My sign should be greater than and my confidence level is going to be 0.90 or 0.9.  So we'll type these bits of information here. So my p value is basically zero and when you compare zero to the significance local alpha, it's definitely less than. So that means we do reject the null hypothesis. So as we can cross up the null hypothesis and all eyes now point to our claim, there is evidence to support our claim. We'll write the statement in a minute and then in terms of your confidence interval you had point zero zero six comma point zero one two. So zero is not in the interval. So there is a difference in the proportions. So here is the hypothesis statement and the confidence interval statement. There is sufficient evidence to support the claim that seat belts are effective in reducing fatalities and the confidence interval statement is with confidence level 90% the difference between the proportion of deaths from not wearing seat belts and wearing seat belts is between point zero zero six and point zero one two. Remember when zero is not in the interval that suggests that there is a difference in the proportions. So anyway, that's all I have for now. Thanks for watching.


Backrooms entity number five, or clumps. These were one of the first creatures to ever be found inside of the backrooms, and they're definitely one of the scariest. Clumps take the appearance of a weird, goopy conglomeration of limbs. Hands, legs, feet, arms. Any limb you can think of, rolled up, and shoved together to form whatever this is. They mainly inhabit small claustrophobic areas and levels in the backrooms, like levels two and three, but they've also been seen inside of buildings and in air ducts and that kind of thing as well. Clumps seem to always be hungry, and because of this, they constantly walk around and look for prey, which is you, if you're not careful. They attack by reaching out one really long limb to grab their victim and pull them in to eat them.  Let me know in the comments if you could fight one and win. I think I could.


Okay. Well, I just hope you had fun watching this video. It went viral. I did. And it's surprising the things that can go viral in a country right now, in our society right now, not just in our country. Well, ladies and gentlemen, for the final lap of the program today, it's a pleasure to introduce Jude Thomas Darwin. He is a journalist, content creator, and definitely not a cow. Even though he's the one that did what you just watched here now. Jude, good afternoon and welcome to the run-up. Thank you so much for having me on the run-up. And yes, I'm definitely not a cow. Yeah, because some people will be expecting you to just say moo. I would have done that, but then I'm not in that element right now. What were you even thinking when you did that video? Honestly, was I really thinking? Yes, I was. And the video for me and the song was a little bit more poetic than it is. Now, I don't know if you can remember in 2019, where the biggest conversation in Nigeria was about, you know, getting houses and states for cows and ruggers.  But then Nigerians were going through a lot. People didn't have houses to live in. Nobody really paid attention to those kind of things. It just seemed like being a cow was fantastic. Look, these cows would just sleep in the night. They don't have to go to work. And yet they had been fought for. And for me, it was more from that angle. But at the end of the day, I made a joke out of it. But I made a joke out of what I was thinking in my head. And then coronavirus came through and I was not doing anything at all in my house. I'll tell you this, my wife is not proud of that video, by the way. She said, how would the children look at it? But a lot of people haven't seen it from the point where I saw it. But I also hope that someday people would understand the reason the song came out. Alright. You have a doppelganger that is called Tanko. And I'm sure that is the person represented in the video, I'm a cow. Tell us, is Tanko and Longplan, are they the same person? They can never be the same person. Because Tanko is the person who didn't go to school. He's thinking from the point of someone who is struggling in Nigeria, someone who is trying to find space, trying to keep a job. If you follow some of my skills, you'll find out that most of the time, I've been sacked from one job to the other job because nothing seems to be straight for Tanko. Longplan is the father and husband. Also Longplan is the media person, the assistant head of station. Longplan is the corporate guy who is politically correct every single time you catch him, so he has two different people. Okay, let's know whether you grew up among a head of cows or something. You tell us a bit about yourself. I wish I did, like thinking about it right now. I wish I did, just hopefully they don't kill me for Christmas, right? But what happened with that was, my dad had cows because my dad is a traditional ruler. So he gets gifts, a lot of cows. So we had a lot of that in the family. Not that we go to take care of them because he usually pays for people to do that. But I learned Hausa not too long ago actually. Let's say 12 to 13 years ago, that's about when I started, I forced myself to learn Hausa. And I just kind of liked the fact that I could hear what people were saying. Yes, I'm from Black to State. Hausa is not my traditional language. I'm from Pankshin. My traditional language is Mopun. So all of these things put together just kind of gave me an insight into how the Tanko people think and how they react to things actually. So that was it for me. But I didn't grow up among cows. You mentioned earlier that what inspired you to make that song, I'm a cow, is the political situation in the country at the time in 2019. And that means you follow up on political activities and situations in the country. And that made me want to ask you this question. We're in the election season. The campaigns have started. What do you think about the political situation right now in the country? Personally, I think people are sectionalizing the politics, which is something we're hoping wouldn't happen. The youth I've made, I've spoken, and if you bear me witness, the youth was or is very material to the ruling party today. They played a major role to make sure that there was a new political party, which we felt was almost impossible. But the youth have decided now and said, you know what? We need some form of fresh air. And the movement started like a joke. Usually it's just the two major political parties, but right now we're getting more than two, more than three, more than four.  All of them are putting a lot of energy into it. And this happened because the youth have decided to take the country into their hands to make their voice heard. Gone are the days where they will say, OK, it's only on social media, which I think it's a good thing. The other day I was having a conversation with a couple of young people. I think the oldest was 24. And just for the hell of it, I asked the person, I said, are you registered under any political party? And he said, yes, I was shocked. Then I asked the other person, they had the ID cards of their political parties. So I think there's a paradigm shift, and it's scaring the older politicians as much as they try to make it look like, no, it's not a problem. But I think the youths are trying so hard. If we didn't get it the first time, we want to try it again until we get it right. So it's a very interesting place to be in if only the older politicians will not sectionalize the policy. OK, I wish we had more time. And I also wish we had you in the studio here. I would have made you to dance to that cow video. I'm a cow. I'm a cow, by the way. Unfortunately, we cannot have you in the studio here today, but we hope for that kind of moment in the future. I would like to thank you for being a part of our program this afternoon. Thank you so much for having me, and you guys are doing great. OK, thank you so much. Well, that is the much we can take for today, and we're not cows. But we hope to have the luxury that that video talked about. You do next to nothing, but you have the comforts of life and everything like that. You have people constantly guarding and guiding you. OK, just by way of information, we know that yesterday the program was at 9 o'clock, but henceforth, we hope to bring the program to you from 11 o'clock every morning. And we're hoping that you're going to be a part of the show. Until then, my name is Nyam Gul Agadje. And I am Uche Chuku Onode.