Two researchers (A and B)compute a two-independent-sample t test.For both tests,the mean difference between the two groups is 10,but the standard error is smaller for Researcher A.Which test is more likely to result in a decision to reject the null hypothesis?
A) Researcher A.
B) Researcher B.
C) The likelihood is the same for both researchers.
D) There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

Since the standard error is smaller for Researcher A, this means that the test statistic (t-value) will be larger for Researcher A compared to Researcher B, given the same mean difference. A larger t-value indicates stronger evidence against the null hypothesis, and therefore Researcher A is more likely to result in a decision to reject the null hypothesis.

Two Researchers (A and B)compute a Two-Independent-Sample T Test