Your friend claims that he has developed a method to score a 70% or better on a multiple choice exam even if he has no knowledge of the subject matter. He stipulates that the test has to consist of exactly 20 multiple choice questions with four answer choices for each question.

Your friend agreed to take such an exam to prove his claim and obtained a score of 70%. Are you convinced that your friend’s method actually does work as claimed?

Use the one proportion model in Rossman Chance Applets to answer the following questions:

Post a picture of the graph and probability calculation from the results of the chance model for this scenario.

What is the probability that your friend answers any one question correctly by chance alone?
What is your decision regarding your friends claim about his test-taking procedure?
If you run the chance model software a second time, after clicking "Reset" to clear the first results, will you obtain the same probability (p-value) as before? Why or why not?
Will you make the same decision about your friend’s claim as you did the first time? Why or why not?
Example of simulation: