Assume that you are testing the difference in the means of two independent populations at the 0.05 level of significance. The null hypothesis is: H0 : μA - μβ ≥ 0 and you have found the test statistic is What should you conclude? A) The mean of pop. A is greater than the mean of pop. B because p-value α. C) There is no significant difference in the two means because p-value α. D) The mean of pop. B is greater than the mean of pop. A because p-value

Question

Assume that you are testing the difference in the means of two independent populations at the 0.05 level of significance. The null hypothesis is: H0 : μA - μβ ≥ 0 and you have found the test statistic is What should you conclude? A) The mean of pop. A is greater than the mean of pop. B because p-value < α. B) The mean of pop. A is greater than the mean of pop. B because p-value > α. C) There is no significant difference in the two means because p-value > α. D) The mean of pop. B is greater than the mean of pop. A because p-value < α.

Quizplus · Accepted Answer

The correct conclusion is that the mean of population B is greater than the mean of population A because the test statistic indicates a significant difference (p-value < α) in the opposite direction of the null hypothesis (H0 : μA - μβ ≥ 0).

Assume That You Are Testing the Difference in the Means