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 either α = .05 or α = .01
b. ​It cannot be answered without additional information.
c. Reject the null hypothesis with α = .05 but fail to reject with α = .01
d. ​Fail to reject the null hypothesis with either α = .05 or α = .01

Answer 1

B- It cannot be answered without additional information.

Explanation:

From the question, we have α= 0.01 and α= 0.05.

Thus;

We can decide to look at the critical values and check if test statistic is less or more than the tabulated value for α= 0.01 and 0.05.

However, that will not be sufficient as neither the level of significance nor confidence level is clearly mentioned in the question and thus, we can not answer it without additional information.