The following values of Fobs occurred in a two-factor between-subjects analysis of variance: F(1, 40) for factor A = 4.76, F(1, 40) for factor B = 3.81, and F(1, 40) for the interaction of factors A and B = 5.03. Fcrit(1, 40) = 4.08 for alpha = .05. In this experiment you would H0 for factor A, H0 for factor B, and H0 for the interaction of factors A and B.
A)reject; reject; reject
B)fail to reject; fail to reject; fail to reject
C)fail to reject; reject; fail to reject
D)reject; fail to reject; reject

Question

Quizplus · Accepted Answer

For factor A, Fobs (4.76) > Fcrit (4.08), so we reject the null hypothesis for factor A. 
For factor B, Fobs (3.81) < Fcrit (4.08), so we fail to reject the null hypothesis for factor B. 
For the interaction of factors A and B, Fobs (5.03) > Fcrit (4.08), so we reject the null hypothesis for the interaction. Therefore, the best answer is D, where we reject the null hypothesis for factor A and the interaction of factors A and B, but fail to reject the null hypothesis for factor B.

The Following Values of Fobs Occurred in a Two-Factor Between-Subjects