A one-way within-groups ANOVA on 2 and 22 degrees of freedom results in an F statistic of 3.64.What decision should be made about the hypothesis based on this statistic?
A) Fail to reject the null hypothesis because the F statistic does not exceed the critical cutoff.
B) Fail to reject the null hypothesis and conclude there is no effect of the independent variable.
C) Reject the null hypothesis and conclude there are differences among the levels of the independent variable.
D) Reject the null hypothesis and conclude the independent variable has no effect.

Question

Quizplus · Accepted Answer

The F statistic of 3.64 exceeds the critical cutoff at a significance level of 0.05, indicating that the probability of obtaining this result by chance is less than 5%. Therefore, we reject the null hypothesis and conclude that there are differences among the levels of the independent variable.

A One-Way Within-Groups ANOVA on 2 and 22 Degrees of Freedom