**Survey on the Importance of Protecting Rights in a Democracy**A survey of 800 randomly selected adults in a certain country found that 82% believed that protecting the rights of those with unpopular views is a very important component of a strong democracy.**Question for Discussion:****c.** Would a 90% confidence interval based on this sample be wider or narrower than the 95% interval? Give a reason for your answer.**Detailed Explanation:** When constructing confidence intervals, there is a trade-off between the level of confidence and the width of the interval. Higher confidence levels produce wider intervals because a larger range is needed to be confident that the interval contains the true population parameter. Conversely, lower confidence levels result in narrower intervals.In this case, a 90% confidence interval would be narrower than a 95% confidence interval. This is because the level of confidence is lower (90% compared to 95%), meaning there is less certainty that the interval contains the true proportion, hence requiring a smaller range.

It is given that Sample proportion, p^ = 82% = 0.82Sample size, n = 800

Answered: c. Would a 90% confidence interval…

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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c. Would a 90% confidence interval based on this sample be wider or narrower than the 95% interval? Give a reason for your answer.