Question

The null hypothesis for ANOVA typically is that all

• A. proportions are equal
• B. means are unequal
• C. proportions are unequal
• D. means are equal

Hint:

Rejecting the null in ANOVA means at least one group mean differs significantly from the others.

Answer 1

The Correct Option is D

Step 1: Understanding the null hypothesis in ANOVA.
The null hypothesis in ANOVA assumes no difference among the group means; all come from the same population distribution.
Step 2: Eliminate incorrect options.
(a) Proportions are equal — refers to categorical data tests like chi-square.
(b) Means are unequal — this is the alternative hypothesis, not the null.
(c) Proportions are unequal — again for categorical variables.
\[ \boxed{(d)} \]