Conducting the same test,except assuming equal variances,resulted in not rejecting the null hypothesis,with a tsTAT of 1.73 and critical values t2.02.Compare these results with the results fro the test assuming unequal variances.Choose the correct answer below. OA.The test statistics are equal and the absolute values of the critical values are larger for the separate-variance test,and the conclusion is the same. B.The test statistics are equal and the absolute values of the critical values are larger for the pooled-variance test,and the conclusion is the same O C.The test statistics are equal and the absolute values of the critical values are equal,and the conclusion is the same. OD.The test statistics are unequal and the absolute values of the critical values are equal,and the conclusion is the same.
Question
Conducting the same test,except assuming equal variances,resulted in not rejecting the null hypothesis,with a tsTAT of 1.73 and critical values t2.02.Compare these results with the results fro the test assuming unequal variances.Choose the correct answer below. OA.The test statistics are equal and the absolute values of the critical values are larger for the separate-variance test,and the conclusion is the same. B.The test statistics are equal and the absolute values of the critical values are larger for the pooled-variance test,and the conclusion is the same O C.The test statistics are equal and the absolute values of the critical values are equal,and the conclusion is the same. OD.The test statistics are unequal and the absolute values of the critical values are equal,and the conclusion is the same.
Solution
The correct answer is B. The test statistics are equal and the absolute values of the critical values are larger for the pooled-variance test, and the conclusion is the same. This is because the test statistic (tSTAT) is the same in both cases (1.73), but the critical value for the pooled-variance test (t2.02) is larger than the one for the separate-variance test. Despite these differences, the conclusion (not rejecting the null hypothesis) is the same in both cases.
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