In a Friedman test for comparing four populations, provided that there are eight blocks, the test statistic is calculated as F = 10.98. If the test is conducted at the 5% significance level, the conclusion and p-value will be: A) reject the null hypothesis, and 0.01

Question

In a Friedman test for comparing four populations, provided that there are eight blocks, the test statistic is calculated as F = 10.98. If the test is conducted at the 5% significance level, the conclusion and p-value will be: A) reject the null hypothesis, and 0.01 < p-value < 0.025. B) reject the null hypothesis, and p-value > 0.025. C) do not reject the null hypothesis, and 0.025 < p-value < 0.05. D) do not reject the null hypothesis, and p-value > 0.05.

Quizplus · Accepted Answer

Since the test statistic F = 10.98 is greater than the critical value at the 5% significance level for a Friedman test with four treatments and eight blocks (which is 6.47), we reject the null hypothesis. The p-value can be calculated using a chi-squared distribution with three degrees of freedom (number of treatments minus 1), and the probability of observing a test statistic as extreme as 10.98 or greater is between 0.01 and 0.025. Therefore, the conclusion is to reject the null hypothesis and the p-value is between 0.01 and 0.025.

In a Friedman Test for Comparing Four Populations, Provided That