An independent-measures research study uses two samples,each with n = 12 participants.If the data produce a t statistic of t = 2.50,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 = 2.50,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

With a t value of 2.50 and 22 degrees of freedom (n1 + n2 - 2 = 22), the two-tailed critical values at α = .05 and α = .01 are ±2.073 and ±2.831, respectively. Since the obtained t value of 2.50 falls between these two critical values, we would reject the null hypothesis at α = .05 (the less stringent level of significance) but fail to reject at α = .01 (the more stringent level of significance).

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

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