Use the Mann-Whitney test to test the given hypotheses at the a 005 level of sig

Question

Use the Mann-Whitney test to test the given hypotheses at the a 005 level of significance. The independent samples were oblained randomly Ho M, -M, versus H, M, M, with n,-14, n2 10, and S 164 Should the null hypothesis be rejected? O A. No, do not reject the null hypothesis The test-statistic is in the critical region O B. Yes, reject the null hypothesis. The test-statistic is in the critical region O C. Yes, reject the null hypothesis. The test-statistic is not in the critical region O D. No, do not reject the null hypothesis. The test-statistic is not in the critical region

Explanation / Answer

The critical value of the Mann-Whitney test for n1=14, n2=10 at alpha=0.05 is 36. The estimated test statistic S=164 is larger than the critical value. Hence, we reject the null hypothesis.

Ans: B) Yes, reject the null hypothesis. The test statistic is in the critical region.

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