A researcher conducts a 2 $\times$ 4 between-subjects ANOVA in which 12 participants were observed in each group.If = 18 and = 264,then what is the decision for Factor A at a .05 level of significance using the two-way between-subjects ANOVA?
A)Reject the null hypothesis.
B)Retain the null hypothesis.
C)There is not enough information to answer this question.

Question

A researcher conducts a 2 $\times$ 4 between-subjects ANOVA in which 12 participants were observed in each group.If  = 18 and  = 264,then what is the decision for Factor A at a .05 level of significance using the two-way between-subjects ANOVA?
A)Reject the null hypothesis. 
B)Retain the null hypothesis. 
C)There is not enough information to answer this question.

Quizplus · Accepted Answer

Without knowing the actual F-ratio and p-value for Factor A, it is impossible to say for certain whether to reject or retain the null hypothesis. However, if the researcher had calculated the F-ratio and p-value and found that the p-value was less than .05, then the decision would be to reject the null hypothesis at a .05 level of significance. Therefore, based on the limited information given, the best choice is A (reject the null hypothesis) because it is the only option that allows for the possibility of rejecting the null hypothesis.

A Researcher Conducts a 2 ×\times× 4 Between-Subjects ANOVA in Which 12 Participants Were Observed in Which

A Researcher Conducts a 2 $\times$ 4 Between-Subjects ANOVA in Which 12 Participants Were Observed in Which