Refer to the Museum Management and Curatorship (June 2010) worldwide survey of 30 leading museums of contemporary art, Exercise. Recall that each museum manager was asked to provide the performance measure used most often for internal evaluation. A summary of the results is provided in the table and saved in the MUSEUM2 file. The data were analyzed using a chi-square test for a multinomial experiment. The results are shown in the MINITAB printout (top of page 735).
a. Is there evidence to indicate that one performance measure is used more often than any of the others? Test using α = .10.
b. Find a 90% confidence interval for the proportion of museums worldwide that use total visitors as their performance measure. Interpret the result.
Performance Measure Number of Museums
Total visitors.......... 8
Paying visitors.......... 5
Big shows ............. 6
Funds raised............ 7
Members............. 4

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Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: NUMBER Using category names in PERFORM Test Contribution co Chi-Sq 0.666667 0.166667 0.000000 0.166667 0.666667 obsezved Proporcion Expected Category Total visitors Paying visitor Big shows 0.2 0.2 0.2 0.2 0.2 MemberS NDF 30 4 1.66667 Chi-Sq P-Value 0.797