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When testing Ho:µ=µo versus H, : µ#µo, if a 99% confidence interval does not contain Ho, we (Choose one) ▼ Ho at the level.

When testing Ho:µ=µo versus H, : µ#µo, if a 99% confidence interval does not contain Ho, we (Choose one) ▼ Ho at the level.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Relationship Between Confidence Intervals and Hypothesis Testing** --- **Question: What is the relationship between confidence intervals and hypothesis testing?** **Explanation:** - The problem presented is to understand how confidence intervals relate to hypothesis testing. Specifically, when testing the null hypothesis (\(H_0: \mu = \mu_0\)) against the alternative hypothesis (\(H_1: \mu \neq \mu_0\)), where \(\mu\) is the population mean. - If a 99% confidence interval does not contain \(\mu_0\), the null hypothesis (\(H_0\)) will be (Choose one option from a dropdown box) at the specified level. - A blank box is present to fill in the level, typically referring to the significance level (e.g., 0.01 for a 99% confidence interval). **Conclusion:** - The absence of \(\mu_0\) in the confidence interval suggests that we reject \(H_0\) at the 1% significance level (since it corresponds to the 99% confidence interval), indicating statistical significance.
Transcribed Image Text:**Relationship Between Confidence Intervals and Hypothesis Testing** --- **Question: What is the relationship between confidence intervals and hypothesis testing?** **Explanation:** - The problem presented is to understand how confidence intervals relate to hypothesis testing. Specifically, when testing the null hypothesis (\(H_0: \mu = \mu_0\)) against the alternative hypothesis (\(H_1: \mu \neq \mu_0\)), where \(\mu\) is the population mean. - If a 99% confidence interval does not contain \(\mu_0\), the null hypothesis (\(H_0\)) will be (Choose one option from a dropdown box) at the specified level. - A blank box is present to fill in the level, typically referring to the significance level (e.g., 0.01 for a 99% confidence interval). **Conclusion:** - The absence of \(\mu_0\) in the confidence interval suggests that we reject \(H_0\) at the 1% significance level (since it corresponds to the 99% confidence interval), indicating statistical significance.
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