Refer to the MegaStat/Excel output for the Wilcoxon signed ranks test given in the table below. At a significance level of .01,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 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 cannot 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 critical values for a one-tailed test with a significance level of .01 and a sample size of 12 are -2.819 and -2.326. The calculated test statistic is -2. Therefore, we fail to reject the null hypothesis 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.

Refer to the MegaStat/Excel Output for the Wilcoxon Signed Ranks