Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice problems are evenl

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Answers To Multiple Choice Problems A Student Wants To See If The Correct Answers To Multiple Choice Problems Are Evenl 1 (95.26 KiB) Viewed 105 times

Answers to Multiple-Choice Problems: 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 100 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 = 100) A B с D Count 22 24 31 23 The Test: 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) The table below is used to calculate the test statistic. Complete the missing cells. Round your answers to the same number of decimal places as other entries for that column. Correct Observed Assumed Expected iAnswer Frequency (0) Probability (Pi) Frequency E A 0.25 25.0 (0; -E;) E; 0.360 0.040 1.440 24 25.0 B с 0.25 31 23 0.25 25.0 n = 100 x2 = (b) What is the value for the degrees of freedom? (c) What is the critical value of x2 ? Use the answer found in the 2-table or round to 3 decimal places. to = (d) What is the conclusion regarding the null hypothesis? O reject Ho O fail to reject Ho (e) Choose the appropriate concluding statement. We have proven that correct answers for all multiple choice questions are evenly distributed. The data supports the claim that correct answers for all multiple choice questions are not evenly distributed. There is not enough data to support the claim that correct answers for all multiple choice questions are not evenly distributed.