4.10.C—Justify a claim about the populations based on the results of a hypothesis test for the difference between two…

Justify a claim about the populations based on the results of a hypothesis test for the difference between two population means.

• A formal decision explicitly compares the p-value to the significance level, α. If the p-value ≤α , then reject the null hypothesis, H:01 μμ-= 2 0 or H:01 μμ= 2. If the p-value >α, then fail to reject the null hypothesis.
• The results of a hypothesis test for a twosample t-test for a difference between two population means can serve as the statistical reasoning to support the answer to an investigative question about the two populations that were sampled.
• A conclusion for the hypothesis test for the difference between two population means is stated in context consistent with, and in terms of, the alternative hypothesis using nondefinitive language. The conclusion should contain a reference to the parameters and the populations.