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 84 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}. (a) Find the test statistic. Correct Answers (n = 84) A C D Count 13 31 19 Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim the 0.10 significance level. (b) Find the critical value. B 21

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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 84 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}.
Count
(b) Find the critical value.
Correct Answers (n = 84)
A
с
D
13
31
19
B
21
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.
Transcribed Image Text: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 84 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}. Count (b) Find the critical value. Correct Answers (n = 84) A с D 13 31 19 B 21 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.
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