In a Friedman test for comparing three populations, provided that there are five blocks, the test statistic is calculated as = 6.594. In this case, what is the most accurate statement that can be made about the p-value? A) the p-value

Question

In a Friedman test for comparing three populations, provided that there are five blocks, the test statistic is calculated as  = 6.594. In this case, what is the most accurate statement that can be made about the p-value?
A) the p-value < 0.025 
B) 0.025 < p-value < 0.05 
C) 0.05 < p-value < 0.10 
D) the p-value > 0.10

Quizplus · Accepted Answer

In a Friedman test, the null hypothesis is that there is no difference among the populations. A small p-value (typically less than 0.05) indicates that there is enough evidence to reject this null hypothesis and conclude that there is a significant difference among the populations. Based on the given test statistic and the degrees of freedom (df = 2), the critical value of the test at the 0.05 significance level is 6.00. Since the test statistic (6.594) is greater than the critical value (6.00), we have enough evidence to reject the null hypothesis. However, we cannot make a definitive conclusion about the p-value without additional information. Since the test statistic is closer to the critical value than to the next larger value of the distribution table, we can estimate the p-value to be between 0.025 and 0.05. Therefore, the most accurate statement is B: 0.025 < p-value < 0.05.

In a Friedman Test for Comparing Three Populations, Provided That