Consider a multinomial experiment with n = 316 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square table or F table)

Consider a multinomial experiment with n = 316 and k= 4. The null hypothesis to be tested is Ho: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square table or F table) Category 2 3 Frequency 87 52 89 88 a. Choose the appropriate alternative hypothesis. O Not all population proportions are equal to 0.25. O All population proportions differ from 0.25. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic