Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below. At a significance level of .01,which one of the following statements is correct regarding the following null hypothesis? H₀: D₁ is shifted to the left of D₂ A)We reject H₀ and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. B)We failed to reject H₀ and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. C)We reject H₀ and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. D)We failed to reject H₀ and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2. E)We failed to reject H₀ and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2.

Question

Quizplus · Accepted Answer

The p-value for the two-tailed test is .018, which is greater than the significance level of .01. Therefore, we failed to reject the null hypothesis and conclude that there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2.

Refer to the Mega-Stat/Excel Output for the Wilcoxon Signed Rank