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2020-12-24

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

Raheem Donnelly

Skilled2020-12-25Added 75 answers

The-ntiligpediestes
${H}_{0}:{p}_{1}-{p}_{2}=90$

The alternative hypothesis:

${H}_{0}:{p}_{1}-{p}_{2}>0$

Here, from above hypothesis${p}_{1}\u2014{p}_{2}=0$ and we know that for a one-tailed hypothesis test with level of significance a, we reject ${H}_{0}$ whenever the difference of proportions falls outside the $c=1-\alpha $ confidence interval for p based on the sample data. If a 98% confidence interval for ${p}_{1}\u2014{p}_{2}$ contains only positive numbers then we should reject ${H}_{0}\text{}at\text{}\alpha =0.02$ 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 ${H}_{0}\text{}at\text{}\alpha =0.01$ level of significance.

The alternative hypothesis:

Here, from above hypothesis

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