If α = .05 and p

Question

If α = .05 and p < .05 for a two-tailed independent samples t test, the result suggests that
A) there was no difference between means.
B) we should fail to reject H₀.
C) there was a significant difference between means.
D) both "a" and "b" are correct.

Quizplus · Accepted Answer

If p < .05, it means that the probability of obtaining the observed difference (or a more extreme difference) by chance is very low, assuming that there is actually no difference between the two groups. This suggests that there is a significant difference between means, and we can reject the null hypothesis. Therefore, option C is the correct choice. Option A is incorrect because it suggests there was no difference between means, which contradicts the significant result. Option B is also incorrect because we can reject the null hypothesis based on the result. Option D is incorrect because only option C is correct.

If α = 05 and P