Fill in the blank with the appropriate word or phrase. When performing the Rank-sum test we reject the null hypothesis when ? . A) the P-value $\leq \alpha$ B) the test statistic $\geq \alpha$ C) the test statistic $$\alpha $

Question

Fill in the blank with the appropriate word or phrase. When performing the Rank-sum test we reject the null hypothesis when ? .
A) the P-value $\leq \alpha$
B) the test statistic $\geq \alpha$
C) the test statistic $< \alpha$
D) the P-value >$\alpha $

Quizplus · Accepted Answer

In the Rank-sum test, we compare the medians of two groups to determine if they are different from each other. We set a significance level (α) before performing the test, and if the probability of obtaining our test statistic or a more extreme value is less than or equal to α, we reject the null hypothesis. This probability is known as the P-value. Therefore, we reject the null hypothesis when the P-value is less than or equal to α. Choice A is the only option that correctly states this.

Fill in the Blank with the Appropriate Word or Phrase ≤α\leq \alpha≤α

Fill in the Blank with the Appropriate Word or Phrase $\leq \alpha$