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 80 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=80)�=80)   A B C D Count 30 10 11 29 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-alt) Find the p-value. (c) Is there sufficient data to support the claim? Yes No

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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 80 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=80)�=80)
  A B C D
Count 30 10 11 29

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-alt) Find the p-value.

(c) Is there sufficient data to support the claim?
Yes
No

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