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

Question 53

Multiple Choice

Refer to the MegaStat/Excel output for the Wilcoxon signed ranks test given in the table below. 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, H<sub>0</sub>: D<sub>1</sub> and D<sub>2</sub> are identical probability distributions, and the alternative hypothesis of H<sub>a</sub>: D<sub>1</sub> is shifted to the left or right of D<sub>2</sub>. A)  We reject H<sub>0</sub> 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 H<sub>0</sub> and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left or right of the probability distribution of population 2. C)  We reject H<sub>0</sub> 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 do not reject H<sub>0</sub> 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 do not reject H<sub>0</sub> and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2. 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 Ha: D1 is shifted to the left or right 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 or right 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 do not 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 do not 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.

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