In a Kruskal-Wallis test at the 5% significance level,there are four samples and the value of the test statistic is calculated as W = 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

Question

Quizplus · Accepted Answer

At the 5% significance level, the critical value for a Kruskal-Wallis test with four samples is 7.81. Since the test statistic W is greater than the critical value, we reject the null hypothesis of equal median ranks. The p-value is the probability of getting a test statistic as large or larger than W under the null hypothesis. The p-value for the Kruskal-Wallis test cannot be calculated directly from the test statistic and must be obtained from a table, computer software, or using the Monte Carlo method. However, since W is greater than the critical value, we know that the p-value is less than or equal to 0.05 (the significance level). Therefore, the most accurate statement is that the p-value is greater than 0.025 but smaller than 0.05. The correct choice is D.

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