Refer to the MegaStat/Excel Output for the Wilcoxon Rank Sum

question 9

Multiple Choice

Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,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 H_a: D₁ is shifted to the left of D₂.

• A) We reject H₀ and conclude that there is very strong evidence that the median value of the first sample significantly differs from the median value of the second sample.
• B) We reject H₀ and conclude that there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample.
• C) We do not reject H₀ and conclude there is not sufficient evidence that the median value of the first sample is significantly less than the median value of the second sample.
• D) We do not reject H₀ and conclude there is not sufficient evidence to conclude that the median value of the first sample is not significantly different than the median value of the second sample.
• E) We do not reject H₀ and conclude there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample.

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Definitions:

Control

The power to influence or direct people's behavior or the course of events.

Categorical Loss

In data science, a loss function used in classification problems where the outcome is discrete and belongs to specific categories.

Stimulant Addiction

A psychological or physical dependency on substances that increase alertness, attention, and energy, often leading to harmful consequences.

Substance Use Disorder

A complex condition in which there is uncontrolled use of a substance despite harmful consequences, leading to clinically significant impairment or distress.