**Poll Results Interpretation: Confidence Intervals**A magazine shared findings from a survey conducted with 2000 adults, who were questioned about their favorite pie. Of these, 12% preferred chocolate pie. The margin of error for this survey is ± 3 percentage points.**Question and Explanation:**Given specific sample data, you need to determine which confidence interval is wider: the 90% confidence interval or the 80% confidence interval, and explain why.**Choose the correct answer below:**- **A.** An 80% confidence interval must be wider than a 90% confidence interval in order to be more confident that it captures the true value of the population proportion.- **B.** A 90% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion.- **C.** A 90% confidence interval must be wider than an 80% confidence interval because it contains 90% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters.- **D.** An 80% confidence interval must be wider than a 90% confidence interval because it contains \(100\% - 80\% = 20\%\) of the true population parameters, while the 90% confidence interval only contains \(100\% - 90\% = 10\%\) of the true population parameters.**Correct Explanation:**The correct answer is **C**. A 90% confidence interval is wider than an 80% confidence interval because it encompasses a larger portion of the true population parameters, providing a higher certainty that the interval contains the actual population value. This greater confidence results in a wider range.

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Answered: A magazine provided results from a poll…

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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