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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 83 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 B C 20 10 A Count 21 32 Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.05 significance level. (a) Find the test statistic. (b) Find the critical value. = 83) D (c) Is there sufficient data to support the claim? Yes No