An independent-measures research study uses two samples, each with n = 12 participants.If the data produce a t statistic of t = 2.08, then which of the following is the correct decision for a two-tailed hypothesis test?
A)Reject the null hypothesis with α = .05 but fail to reject with α = .01.
B)Fail to reject the null hypothesis with either α = .05 or α = .01.
C)Reject the null hypothesis with either α = .05 or α = .01.
D)Cannot answer without additional information

Question

Quizplus · Accepted Answer

With n = 12 in each group, the degrees of freedom is 22. For a two-tailed test with α = .05, the critical t value is approximately 2.074. Since 2.08 > 2.074, we reject the null hypothesis at α = .05. For α = .01, the critical t value is approximately 2.819, and since 2.08 < 2.819, we fail to reject the null hypothesis at α = .01.

An Independent-Measures Research Study Uses Two Samples, Each with N