In there a relationship between confidence intervals and two-tailed hypothesis tests? The answer is yes. Let c be the level of confidence used to construct a confidence interval from sample data. Let * be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean: For a two-tailed hypothesis test with level of significance a and null hypothesis we reject Ho whenever k falls outside the confidence interval for mu based on the sample data. When A falls within the confidence interval. we do reject . For a one-tailed hypothesis test with level of significance Ho : mu = k and null hypothesiswe reject Ho whenever A falls outsidethe confidence interval for p based on the sample data. When A falls within the confidence interval, we do not reject . A corresponding relationship between confidence intervals and two-tailed hypothesis tests is also valid for other parameters, such as and . (b) Consider the hypotheses and Suppose a 98% confidence interval for contains only positive numbers. Should you reject the null hypothesis when alpha = 0.05? Why or why not?