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

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
$8 \quad\quad\mathrm { n }$
18.00 $\quad$ expected value
5.74 $\quad$ standard deviation
$- 2.18\quad \mathrm { z }$ , 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 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 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.