A survey of 30 museums asked to provide the performance measure used most often for internal evaluation. A summary of Performance Measure Number of Museums the results is provided in the table. The data were analyzed using a chi-square test for a multinomial experiment. The results Total visitors are shown in the accompanying table. Complete parts a and b. Paying visitors Click the icon to view the results. Big shows w " " " Funds raised Members a. Is there evidence to indicate that one performance measure is used more often than any of the others? Test using a = 0.1. Choose the null and alternative hypotheses for testing whether one performance measure is used more often than any of the other types. O A. Ho: P1 = P2 = P3 = P4 = P5 Ha: At least one of the multinomial probabilities does not equal its hypothesized valu O B. Ho: P1 = P2 = P3 = P4 = P5 Chi-square test for a multinomial experiment results Ha: P1 # P2 # P3 # P4 # P5 O C. Ho: P1 # P2 # P3 # P4 # P5 Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: NUMBER Ha: At least one of the multinomial probabilities equals its hypothesized value. Using category names in PERFORM Category Observed Test Proportion Expected Contribution to Chi-SQ Identify the test statistic. Total visitors 0.2 6 1.500000 Paying visitors 0.2 0.000000 x2 = (Round to three decimal places as needed.) Big shows 0.2 0.000000 Funds raised 0.2 0.000000 Identify the p-value. Members 0.2 1.500000 (Round to three decimal places as needed.) N DF Chi-Sq P-value 30 4 3.000000 0.558 Choose the correct conclusion below. O A. Fail to reject Ho. There is insufficient evidence that at least one performance measu used more often than any of the other types. Print Done O C. Reject Ho. There is sufficient evidence that at least one performance measure is use more often than any of the other types.Choose the correct conclusion below. O A. Fail to reject Ho. There is insufficient evidence that at least one performance measure is O B. Fail to reject Ho. There is sufficient evidence that at least one performance measure is used more often than any of the other types. used more often than any of the other types. O C. Reject Ho. There is sufficient evidence that at least one performance measure is used O D. Reject Ho. There is insufficient evidence that at least one performance measure is used more often than any of the other types. more often than any of the other types. b. Find a 90% confidence interval for the proportion of museums worldwide that use total visitors as their performance measure. Interpret the result. (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. A. A randomly selected museum will respond that total visitors is their performance measure 90% of the time. O B. A proportion of museums between the confidence limits will respond that total visitors is their performance measure. O C. There is 90% confidence that the true proportion of museums that use total visitors as their performance measure is contained in the confidence interval