The following are the competing hypotheses and the relevant summary statistics: The p-value associated with the value of the test statistic is 0.3692.At the 5% significance level,which of the following conclusions is correct?
A) We reject the null hypothesis and conclude that the variances differ.
B) We do not reject the null hypothesis and conclude that the variances differ.
C) We reject the null hypothesis and cannot conclude that the variances differ.
D) We do not reject the null hypothesis and cannot conclude that the variances differ.

Question

The following are the competing hypotheses and the relevant summary statistics:   The p-value associated with the value of the test statistic is 0.3692.At the 5% significance level,which of the following conclusions is correct?
A) We reject the null hypothesis and conclude that the variances differ. 
B) We do not reject the null hypothesis and conclude that the variances differ. 
C) We reject the null hypothesis and cannot conclude that the variances differ. 
D) We do not reject the null hypothesis and cannot conclude that the variances differ.

Quizplus · Accepted Answer

The p-value of 0.3692 is greater than the significance level of 0.05, so we do not have sufficient evidence to reject the null hypothesis. Therefore, we cannot conclude that the variances differ. The correct choice is D.

The Following Are the Competing Hypotheses and the Relevant Summary