**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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Answered: When testing Ho:µ=µo versus H, : µ#µo,…

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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An NHANES report gives data for 647 women aged 20–29 years. The BMI of these 647 women was x= 25.8. On the basis of this sample, we want to estimate the BMI u in the population of all 20.6 million women in this age group. We treated these data as an SRS from a Normally distributed population with standard deviation o = 7.1. (a) Give three confidence intervals for the mcan BMI u in this population, using 90%, 95%, and 99% confidence. Enter the lower and upper bound for the 90% confidence interval. (Enter your answers rounded to two decimal places. If you are using Crunchlt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision scttings.) lower bound = uррer bound Enter the lower and upper bound for the 95% confidence interval. (Enter your answers rounded to two decimal places. If you are using Crunchlt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision…

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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.