If an ANOVA test is conducted and the null hypothesis is rejected, what does this indicate?
A) Too many degrees of freedom
B) No difference between the population means
C) A difference between at least one pair of population means
D) All population means are different

Question

Quizplus · Accepted Answer

If the null hypothesis is rejected in an ANOVA test, it indicates that there is a statistically significant difference between at least one pair of population means. Therefore, we would reject the idea that all population means are equal. Choice A is incorrect because too many degrees of freedom would not necessarily lead to the null hypothesis being rejected. Choice B is incorrect because the null hypothesis assumes that there is no difference between the population means - so rejecting the null hypothesis implies that there is a difference. Choice D is also incorrect because we cannot definitively conclude that all population means are different without further analysis.

If an ANOVA Test Is Conducted and the Null Hypothesis