If the endpoints of a confidence interval for the difference between a pair of treatment means are both positive numbers,then we reject the null hypothesis that there is no difference in the pair of treatment means.

Question

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If the confidence interval for the difference between a pair of treatment means does not contain zero (i.e. the endpoints are both positive or both negative), then we can reject the null hypothesis that there is no difference in the pair of treatment means at the given level of confidence. If the confidence interval does contain zero, however, we fail to reject the null hypothesis.

If the Endpoints of a Confidence Interval for the Difference