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 H0:mu=k we reject Ho whenever k falls outside the c=1—α confidence interval for mu based on the sample data. When A falls within the c=1—α confidence interval. we do reject H0. For a one-tailed hypothesis test with level of significance Ho : mu = k and null hypothesiswe reject Ho whenever A falls outsidethe c=1—2α confidence interval for p based on the sample data. When A falls within the c=1—2α confidence interval, we do not reject H0. A corresponding relationship between confidence intervals and two-tailed hypothesis tests is also valid for other parameters, such as p,μ1—μ2, and p1,−p2. (b) Consider the hypotheses H0:p1—p2=O and H1:p1—p2= Suppose a 98% confidence interval for p1—p2 contains only positive numbers. Should you reject the null hypothesis when alpha = 0.05? Why or why not?

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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 H0:mu=k we reject Ho whenever k falls outside the c=1—α confidence interval for mu based on the sample data. When A falls within the c=1—α confidence interval. we do reject H0. For a one-tailed hypothesis test with level of significance Ho : mu = k and null hypothesiswe reject Ho whenever A falls outsidethe c=1—2α confidence interval for p based on the sample data. When A falls within the c=1—2α confidence interval, we do not reject H0. A corresponding relationship between confidence intervals and two-tailed hypothesis tests is also valid for other parameters, such as p,μ1—μ2, and p1,−p2. (b) Consider the hypotheses H0:p1—p2=O and H1:p1—p2= Suppose a 98% confidence interval for p1—p2 contains only positive numbers. Should you reject the null hypothesis when alpha = 0.05? Why or why not?

Raheem Donnelly · Accepted Answer

The-ntiligpediestes  H0:p1−p2=90  The alternative hypothesis:  H0:p1−p2&amp;gt;0  Here, from above hypothesis p1—p2=0 and we know that for a one-tailed hypothesis test with level of significance a, we reject H0 whenever the difference of proportions falls outside the c=1−α confidence interval for p based on the sample data. If a 98% confidence interval for p1—p2 contains only positive numbers then we should reject H0 at α=0.02 because the confidence interval does not contain 0. We know that 99% confidence interval is greater than 98% confidence interval and 99% confidence intervalmight contain 0. So, we don’t have enough evidence to reject null hypothesis H0 at α=0.01 level of significance.

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 cons

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