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)Reject the null hypothesis with either α = .05 or α = .01
C)Fail to reject the null hypothesis with either α = .05 or α = .01
D)It cannot be answered without additional information.

Question

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)​Reject the null hypothesis with either α = .05 or α = .01
C)​Fail to reject the null hypothesis with either α = .05 or α = .01
D)​It cannot be answered without additional information.

Quizplus · Accepted Answer

Since the t statistic is significant at an alpha level of .05, we can reject the null hypothesis at this level of significance. However, we cannot reject the null hypothesis at an alpha level of .01 since the t statistic is not significant at this level. Therefore, the correct decision is to reject the null hypothesis with α = .05 but fail to reject with α = .01.

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