Show that you have mastery over the idea behind hypothesis testing by calculating some probabilities and drawing conclusions.


An alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10, percent. They abducted a random sample of 100 humans, performed special psychological tests, and found that 20, percent of the sample are rebellious.
Let's test the hypothesis that the actual percentage of rebellious humans is 10, percent versus the alternative that the actual percentage is higher than that.
The table below sums up the results of 1000 simulations, each simulating a sample of 100 humans, assuming there are 10, percent rebellious humans.
According to the simulations, what is the probability of getting a sample with 20, percent rebellious humans or more?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a percent, like 12, point, 34, percent
Let's agree that if the observed outcome has a probability less than 1, percent under the tested hypothesis, we will reject the hypothesis.
What should we conclude regarding the hypothesis?
Please choose from one of the following options.
Measured percent of rebellious humansFrequency