Show transcribed image text Consider a multinomial experiment with n 272 and k 4. The null hypothesis to be tested is H : p-p Ps pa 0.25. The observed frequencies resulting from the experiment are (Use Table 3): Category Frequency 77 46 79 70 a. Choose the appropriate alternative hypothesis O All population proportions differ from 0.25 O 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 at least 4 decimal places and final answer to 2 decimal places.) Test statistic d. What is the conclusion to the hypothesis test? O Do not reject H, since the value of the test statistic exceeds the critical value O Reject Ho since the value of the test statistic does not exceed the critical value â—‹ Do not reject since the value of the test statistic does not exceed the critical value 0 Reject Hu since the value of the test statistic exceeds the critical value.

Consider a multinomial experiment with n 272 and k 4. The null hypothesis to be tested is H : p-p Ps pa 0.25. The observed frequencies resulting from the experiment are (Use Table 3): Category Frequency 77 46 79 70 a. Choose the appropriate alternative hypothesis O All population proportions differ from 0.25 O 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 at least 4 decimal places and final answer to 2 decimal places.) Test statistic d. What is the conclusion to the hypothesis test? O Do not reject H, since the value of the test statistic exceeds the critical value O Reject Ho since the value of the test statistic does not exceed the critical value â—‹ Do not reject since the value of the test statistic does not exceed the critical value 0 Reject Hu since the value of the test statistic exceeds the critical value.