**Understanding Confidence Intervals**For the same sample statistics, which level of confidence would produce the widest confidence interval? Explain your reasoning.**Choose the correct answer below:**- O 90%, because as the level of confidence decreases, $ z_c $ increases.- O 90%, because as the level of confidence decreases, $ z_c $ decreases.- O 99%, because as the level of confidence increases, $ z_c $ decreases.- O 99%, because as the level of confidence increases, $ z_c $ increases.**Explanation:**The confidence interval is the range within which we expect the true population parameter to lie. The level of confidence reflects how sure we are of this interval containing the parameter.- **90% Confidence Level:** This typically results in a narrower confidence interval because the margin of error is smaller. The critical value ($ z_c $) decreases, which reduces the width of the interval. - **99% Confidence Level:** This frequently results in a wider confidence interval as we are more cautious and thus provide a larger range to increase the likelihood of including the true parameter. The critical value ($ z_c $) increases, leading to a wider interval.In this context, a 99% confidence level produces the widest confidence interval because a higher confidence level requires capturing more potential values of the parameter, increasing the width of the interval.

Solution: Here we want to determine which confidence level produce widest confidence interval.

Answered: For the same sample statistics, which…

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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