In a Kruskal-Wallis test at the 5% significance level,there are four samples and the value of the test statistic is calculated as H = 8.79.The most accurate statement that can be made about the p-value is that it is:
A) greater than 0.10.
B) greater than 0.05 but smaller than 0.10.
C) greater than 0.05.
D) greater than 0.025 but smaller than 0.05.
E) greater than 0.10 but smaller than 0.15.

Question

Quizplus · Accepted Answer

The p-value for the Kruskal-Wallis test is the probability of obtaining a test statistic as extreme as H, assuming the null hypothesis is true (i.e. all samples come from the same population). Since the calculated test statistic is greater than the critical value at the 5% level (which is 7.81 for four samples), we reject the null hypothesis and conclude that there is evidence to suggest that the samples come from different populations. Therefore, the p-value must be less than 0.05. However, since the test statistic is not greater than the critical value at the 2.5% level (which is 9.49 for four samples), we cannot conclude that the p-value is less than 0.025. Therefore, the most accurate statement is that the p-value is greater than 0.025 but smaller than 0.05, which is option D.

In a Kruskal-Wallis Test at the 5% Significance Level,there Are