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 null hypothesis, H₀: D₁ and D₂ are identical probability distributions, and the alternative hypothesis of H_a: D₁ is shifted to the left of D₂. A) We reject H₀ and conclude that there is very strong evidence that the median value of the first sample significantly differs from the median value of the second sample. B) We reject H₀ and conclude that there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample. C) We do not reject H₀ and conclude there is not sufficient evidence that the median value of the first sample is significantly less than the median value of the second sample. D) We do not reject H₀ and conclude there is not sufficient evidence to conclude that the median value of the first sample is not significantly different than the median value of the second sample. E) We do not reject H₀ and conclude there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample.

Question

Quizplus · Accepted Answer

Since n₁ ≤ n₂, we use 66.5 as our T-statistic. Since 66.5 is less than our rejection point of 83, we reject H₀and conclude that there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample.

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