Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,which one of the following rejection point conditions is correct regarding the following null hypothesis? H₀: D₁ and D₂ are identical probability distributions. A) Reject H₀ if T ≥ 79 or T ≤ 131. B) Reject H₀ if T ≥ 131 or T ≤ 83. C) Reject H₀ if T ≥ 131 or T ≤ 79. D) Reject H₀ if T ≤ 83 or T ≥ 127. E) Reject H₀ if T ≤ 79 or T ≥ 127.

Question

Quizplus · Accepted Answer

The p-value for the test is 0.0489, which is less than the significance level of 0.05. Therefore, we reject the null hypothesis that D₁ and D₂ are identical probability distributions. The rejection point for the Wilcoxon rank sum test with a two-tailed alternative hypothesis at a significance level of 0.05, and n1 = n2 = 20 is 79 for T. Thus, we reject H₀ if T ≥ 131 or T ≤ 79. The correct answer is C, which is the same as the previous but drops the second item on the list.

Refer to the MegaStat/Excel Output for the Wilcoxon Rank Sum