More than one teacher has given the following advice: choose answer C 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 580 multiple-choice test answers (the correct answers from the instructor's answer sheet) from introductory college courses and obtain the information summarized by the rst 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 580 correct answers. The second row of numbers contains the frequencies expected for a sample of 580 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. 2 (f0 TfE) (Observed frequency Expected frequency)2 fE Expected frequency Part 1 (fo'fE)2 fE Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to three or more decimal places. Send data to Excel Observed frequency fa Espaol Observed frequency f0 Expected frequency fE 10 *fE 2 f5 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 signicance for the test. (a) Determine the type of test statistic to use. X f) ? Type of test statistic: (choose one) 7 (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) III (c) Find the critical value. (Round your answer to two or more decimal places.) l_| I] I] 0.172 0.559 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 signicance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (choose one) V (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) Undo (c) Find the critical value. (Round your answer to two or more decimal places.) I] (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? OYes O No