Question

A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 87 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options {A, B, C, D}.

Correct Answers (?=87)

n

=

87

)

A B C D

Count 16 33 26 12

Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.10 significance level.

(a) Find the test statistic.

(b) Find the critical value.

(c) Is there sufficient data to support the claim?

Yes

No

Answer 1