Cheating?
A professor creates two versions of a 20-question multiple-choice quiz.
Each question has four choices. One student got a score of 19 out of 20 for the version of the test given to the person sitting next to her.
The professor thinks the student was copying another exam.
The student admits that he hadn't studied for the test, but he says he was simply guessing on each question and just got lucky.
For the professor, the null hypothesis is that p = 0.25, where p is the probability that the student chooses the correct answer if just guessing, and the alternative is p > 0.25.
Would you say that the p-value for this hypothesis test will be high or low? Explain.