In a one-way ANOVA, if the null hypothesis is H₀: μ1 = μ2 = μ3 = μ4, then the alternative hypothesis is:
A) Ha: μ1 ≠ μ2 ≠ μ3 ≠ μ4.
B) Ha: None of the population means differs.
C) Ha: At least two of the population means differ.
D) Ha: At least one of the population means differs.

Question

Quizplus · Accepted Answer

The null hypothesis assumes that all population means are equal, so the alternative hypothesis must state that at least one of the population means differs. Choice D is the only option that includes this statement.

In a One-Way ANOVA, If the Null Hypothesis Is H₀