You are conducting a study to compare the characteristics of women and men in senior executive positions at major US corporations.Samples of four senior executive men and four senior executive women are selected.The table below shows the number of years of management experience before promotion to a senior executive position for each of the two samples. At a 5% significance level, you conduct a t-test (assuming equal population variances) to test the null hypothesis that the average time before promotion is the same for men and women.The test statistic (tstat) turns out to be 2.121.Report your conclusion.
A) Since the test statistic is greater in absolute value than the critical t-score for the test, we reject the "no difference" null hypothesis.
B) Since the test statistic is less in absolute value than the critical t-score for the test, we cannot reject the "no difference" null hypothesis
C) Since the test statistic is greater in absolute value than the critical t-score for the test, we cannot reject the "no difference" null hypothesis.
D) Since the test statistic is less in absolute value than the critical t-score for the test, we reject the "no difference" null hypothesis.
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