3 An experimenter wants to conduct a hypothesis test on a cl

3. An experimenter wants to conduct a hypothesis test on a claim that there was no difference between two population means. That is, H0: 1 – 2 = 0. Which of the following 95% confidence intervals on the difference, 1 – 2, would lead to rejection of the null hypothesis at the 5% level of significance?

Solution

Look for the 95% interval that does not contain contain zero within the left and right bounds, because that implies that zero is not a plausible answer to difference in the two means (rejection of null).