We run a t-test that elicits a conclusion of p.05 B) p

Question

We run a t-test that elicits a conclusion of p<.05. Now, we draw samples twice as large and the rest of the statistics stay the same. Based on these new findings, which of the following cannot be true?
A) p>.05
B) p<.05
C) p<.01
D) p<.001

Quizplus · Accepted Answer

If the sample size is increased while keeping the other statistics constant, the t-value gets smaller and the p-value gets larger. Therefore, it is impossible for the new p-value to be smaller than the original p-value, so B, C, and D are all possible outcomes. However, it is possible for the new p-value to be greater than .05, so A cannot be true.

We Run a T-Test That Elicits a Conclusion of P