In a Friedman test for comparing four populations,provided that there as eight blocks,the test statistic is calculated as F_r = 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 as eight blocks,the test statistic is calculated as F_r = 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 calculated test statistic (10.98) is greater than the critical value at the 5% significance level (7.81), we reject the null hypothesis. This means that there is a significant difference in at least one pair of populations. The p-value can be calculated using a chi-square distribution with (4-1) degrees of freedom and is approximately 0.011. Therefore, the correct answer is A as the p-value falls between 0.01 and 0.025.

In a Friedman Test for Comparing Four Populations,provided That There