For testing the following hypothesis at 95% confidence, the null hypothesis will be rejected if Η0: μ1 - μ2 ≤ 0
Ηα: μ1 - μ2 0
A) p-value ≤ 0.05
B) p-value 0.05
C) p-value 0.95
D) p-value ≥ 0.475

Question

For testing the following hypothesis at 95% confidence, the null hypothesis will be rejected if Η0: μ1 - μ2 ≤ 0
Ηα: μ1 - μ2 > 0
A) p-value ≤ 0.05
B) p-value > 0.05
C) p-value > 0.95
D) p-value ≥ 0.475

Quizplus · Accepted Answer

Rejecting the null hypothesis means that we believe that the alternative hypothesis is true. In this case, the alternative hypothesis is that the difference between the means (μ1 - μ2) is greater than 0. To reject the null hypothesis at a 95% confidence level, the p-value should be less than or equal to 0.05. So, if we get a p-value less than or equal to 0.05, we can reject the null hypothesis and say that there is evidence to support the alternative hypothesis.

For Testing the Following Hypothesis at 95% Confidence, the Null