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

question 13

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.

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Definitions:

Fallacy of Composition

The erroneous belief that what is true for an individual or part will also be true for a group or the whole.

Income

Money received by a person or household over a certain period of time from work, investments, business ventures, or other sources.

Fallacy of Composition

The erroneous belief or argument that what is true for a part is necessarily true for the whole group or entity.

Economic Relationships

The interactions between different variables within the economy, such as supply and demand, and price and quantity.