In a Kruskal-Wallis test for comparing three populations, the test statistic is calculated as H = 2.80.If the test is conducted at the 5% significance level, then:
A) the null hypothesis will not be rejected.
B) the null hypothesis will be rejected.
C) the test results are inconclusive.
D) the t test for matched pairs must be used.

Question

Quizplus · Accepted Answer

The Kruskal-Wallis test is a non-parametric method for comparing three or more independent samples. It is used to determine if there are statistically significant differences between the groups' medians. The decision to reject or not reject the null hypothesis is based on the comparison of the calculated test statistic (H) with the critical value from the Chi-square distribution (since the test statistic of the Kruskal-Wallis test follows a Chi-square distribution) at the given significance level. If H is less than the critical value, we do not reject the null hypothesis. Since the question does not provide the critical value but implies a decision must be made, and given the context, it is reasonable to assume that with an H value of 2.80, the test statistic does not exceed the critical value for significance at the 5% level, leading to the conclusion that the null hypothesis will not be rejected.

In a Kruskal-Wallis Test for Comparing Three Populations, the Test