d-state-the-correct-conclusion-at-alpha-005-use-that-the-calculated-p-value-0056

Question

Given a two-way ANOVA summary where MS_interaction = 0.0336 and MS_error = 0.0103, compute the F-statistic for the interaction and state the correct conclusion at alpha = 0.05 (use that the calculated p-value ≈ 0.056).

Accepted Answer

F ≈ 3.26; p ≈ 0.056; fail to reject H0 (no significant interaction at α = 0.05).

Answer

F ≈ 0.31; p ≈ 0.75; fail to reject H0 (no significant interaction), suggesting the two-way ANOVA was unnecessary compared to separate one-way ANOVAs.

Answer

F ≈ 3.26; p ≈ 0.056; reject H0 for interaction at α = 0.05 because the F-statistic is greater than 1, which always indicates significance.

Answer

F ≈ 3.26; p ≈ 0.056; reject H0 and conclude a significant interaction between the two factors at α = 0.05, which implies main effects can be interpreted independently.