Random Answering
A 25-question multiple-choice questionnaire has four choices for each question. Suppose an applicant is an expert and knows all the correct answers.
The employer carries out a hypothesis test to determine whether a job applicant was answering randomly. The null hypothesis is p = 0.25, where p is the probability of correct answer.
a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.
i. The z-test statistic will be far from 0.
ii. The z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result? Explain your choice.
i. The p-value will be large.
ii. The p-value will be small.