Refer to the Mega-Stat/Excel Output for the Wilcoxon Rank Sum $\text { Wilcoxon - Mann/Whitney Test }$

question 49

Multiple Choice

Refer to the Mega-Stat/Excel output for the Wilcoxon rank sum test given in the table below.
$\text { Wilcoxon - Mann/Whitney Test }$
$\begin{array} { l }\quad2\quad\quad\text { sum of ranks }\\\begin{array}{|c|c|}\hline 10\quad\quad \quad& 66.5\quad \\\hline 10 & 143.5 \\\hline \end{array}&\begin{array} { l }\text { Group } 1\\\text { Group } 2\\\end{array}\\\quad 20\quad\quad\quad\quad210&\text { total }\\\end{array}$

105.00 $\quad$ expected value
13.07 $\quad$ standard deviation
$-2.91\quad \mathrm{z}$ , corrected for ties
$.0037\quad \mathrm{p}$ -value (two-
tailed)
-At a significance level of .05,which one of the following statements is correct when testing H₀: D₁ and D₂ have identical probability distributions versus H_a: D₁ is shifted to the right or left of D₂?

• A)We reject H₀ and conclude there is very strong evidence that D₁ is shifted to the right or left of D₂.
• B)We reject H₀ and conclude there is very strong evidence that D₁ is shifted to the left of D₂.
• C)We failed to reject H₀ and conclude there is not sufficient evidence that D₁ is shifted to the left of D₂.
• D)We failed to reject H₀ and conclude there is not sufficient evidence to conclude that D₁ and D₂ significantly differ in location.
• E)We failed to reject H₀ and conclude there is very strong evidence that D₁ is shifted to the right D₂.

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