i. For an ANOVA test, rejection of the null hypothesis does not identify which populations differ significantly. ii. Not rejecting the null hypothesis in ANOVA indicates that the population means are equal. iii. The null hypothesis for an ANOVA isµ₁-µ₂=µ₃. A) (i), (ii), and (iii) are all correct statements. B) (i) and (ii) are correct statements but not (iii). C) (i) and (iii) are correct statements but not (ii). D) (ii) and (iii) are correct statements but not (i). E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is correct because rejecting the null hypothesis only indicates that at least one of the population means is different, but it does not identify which ones. (ii) is correct because not rejecting the null hypothesis indicates that there is not enough evidence to conclude that the population means are different. (iii) is incorrect because the null hypothesis for an ANOVA is that all of the population means are equal.

I for an ANOVA Test, Rejection of the Null Hypothesis