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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

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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 86 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 (n = 86) A B C D Count 11 25 33 17 Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.01 significance level. (a) Find the test statistic. (b) Find the p-value. (c) Is there sufficient data to support the claim? OYes ONO

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