Consider a multinomial experiment with *n* = 260 and *k* = 4. The null hypothesis to be tested is *H*_{0}: *p*_{1} = *p*_{2} = *p*_{3} = *p*_{4} = 0.25. The observed frequencies resulting from the experiment are (Use Table 3):

Category1 2 3 4 Frequency85 58 89 75

**a.**Choose the appropriate alternative hypothesis. All population proportions differ from 0.25.Not all population proportions are equal to 0.25.

**b.**Calculate the critical value at the 10% significance level.** (Round your answer to 3 decimal places.)**

Critical value

**c.**Calculate the value of the test statistic. **(Round intermediate calculations to 4 decimal places and your final answer to 2 decimal places.)**

Test statistic

**d.**What is the conclusion to the hypothesis test? Do not reject *H*_{0} since the value of the test statistic exceeds the critical value.Reject *H*_{0} since the value of the test statistic does not exceed the critical value.Do not reject *H*_{0} since the value of the test statistic does not exceed the critical value.Reject *H*_{0} since the value of the test statistic exceeds the critical value.

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a.The appropriate alternative hypothesis Ha: Not all population proportions are equal to 0.25 b.The critical value at the 10%... View the full answer