We are interested in testing the following hypotheses. H0: μ1- μ2 ≥ 0 Ha: μ1- μ2

Question

We are interested in testing the following hypotheses. H0: μ1- μ2 ≥ 0 Ha: μ1- μ2 < 0
The test statistic Z is computed to be 2.83. The p-value for this test is
A) 0.4977
B) 0.0023
C) 0.0046
D) 0.9977

Quizplus · Accepted Answer

With Ha: μ1- μ2 < 0, this is a one-tailed test with the alternative hypothesis stating that the difference between the means is less than zero. A Z-score of 2.83 corresponds to a p-value of approximately 0.0023. Since this p-value is less than the commonly used level of significance of 0.05, we reject the null hypothesis H0: μ1- μ2 ≥ 0 and conclude that there is sufficient evidence to suggest that the population mean of group 1 is significantly less than the population mean of group 2. Therefore, the best choice is B.

We Are Interested in Testing the Following Hypotheses