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Refer to the Mega-Stat/Excel Output for the Wilcoxon Signed Rank 8n8 \quad\quad\mathrm { n }

Question 57

Multiple Choice

Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below.
Wilcoxon Signed Rank Test
variables: Group 1 - Group 2
5.5 sum of positive
ranks
30.5 sum of negative
ranks
8n8 \quad\quad\mathrm { n }
18.00 \quad expected value
5.74 \quad standard deviation
2.18z- 2.18\quad \mathrm { z } , corrected for ties
.0296 \quad p-value (two-
\quad\quad\quad tailed)
-At a significance level of .01,which one of the following statements is correct when the alternative hypothesis is Ha: 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.

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