In all applications of the Kruskal-Wallis test,the alternative hypothesis to be tested is always stated as:
A)the locations of all k populations are the same.
B)the locations of all k populations differ.
C)at least two population locations are the same.
D)at least two population locations differ.

Question

Quizplus · Accepted Answer

The Kruskal-Wallis test is a non-parametric ANOVA test used to compare three or more independent groups. The null hypothesis assumes that the populations from which the samples are drawn have the same location (i.e., the same median). Therefore, the alternative hypothesis must state that at least two population locations differ. Option D is the only choice that correctly represents this alternative hypothesis.

In All Applications of the Kruskal-Wallis Test,the Alternative Hypothesis to Be