If the probability of F is greater than the significance level α,________ and ________ should be used.
A) H₀ is rejected; t based on "equal variances not assumed"
B) H₀ is not rejected; t based on "equal variances assumed"
C) H₀ is rejected; t based on "equal variances assumed"
D) H₀ is not rejected; t based on "equal variances not assumed"
E) H₁ is not rejected; t based on "equal variances not assumed"

Question

Quizplus · Accepted Answer

If the probability of F is greater than the significance level α, it means that we fail to reject the null hypothesis H₀ about equal variances. In this case, we can use the t-test based on the assumption of equal variances (also known as the pooled t-test) to compare the means of two samples. Option B is the only choice that suggests using this approach. Options A, C, and D all call for rejecting H₀, which is not appropriate given the information provided. Option E mentions H₁, which is not directly relevant to the question.

If the Probability of F Is Greater Than the Significance