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when blindly guessing among four answers in a multiple choice test since C is more often the correct answer than either A B or D Suppose that we take a random sample of 500 correct answers from multiple choice tests for introductory college courses and obtain the information summarized by the first row of numbers in the table below These numbers are the observed frequencies for the categories A B C and D for our sample of 500 correct answers The second row of numbers contains the frequencies expected for a sample of 500 correct answers if a correct answer is equally likely to be A B C or D The bottom row of numbers contains the following value for each of the correct answer categories A B C and D So SE Observed frequency Expected frequency Expected frequency Part 1 Fill in the missing values in the table Round your responses for the expected frequencies to two or more decimal places Round your fo fE responses to three or more decimal places fE Send data to Excel Observed frequency fo Expected frequency JE JE A 142 B 0 132 C 0 392 119 D 0 125 00 0 125 00 107 0 2 592 Total 500 X a Determine the type of test statistic to use 5 Part 2 Answer the following to summarize the test of the hypothesis that each of A B C and D is equally likely to be the correct answer on tests in these introductory college courses Use the 0 05 level of significance for the test Type of test statistic Choose one b Find the value of the test statistic Round your answer to two or more decimal places 0 c Find the critical value Round your answer to two or more decimal places d Can we reject the hypothesis that A B C and D are equally likely to be the correct answer on tests in these introductory college courses

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