Question: (Computer software or calculator is required.) A multiplechoice test consists of 15 questions with four choices each. The teacher wants to test the hypothesis that

(Computer software or calculator is required.) A multiplechoice test consists of 15 questions with four choices each.

The teacher wants to test the hypothesis that a student is just guessing versus the hypothesis that the probability of a correct answer on each question is higher than it would be if the student were guessing.

a. Specify the parameter of interest.

b. Write the null and alternative hypotheses.

c. If a student chooses the correct answer on eight of the 15 questions, what is the exact p-value for the hypothesis test?

d. What conclusion can be made about whether someone who got eight correct answers was guessing? Explain.

Indicate the level of significance that you used in determining your conclusion.

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