### Understanding Margin of Error in Survey ResultsA magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 13% chose chocolate pie, and the margin of error was given as ±4 percentage points. Let's understand what is meant by the statement that "the margin of error was given as ±4 percentage points."The provided information indicates that the survey's result of 13% could reasonably be expected to vary by up to ±4 percentage points. This means the true percentage of the population who prefers chocolate pie could be as low as 9% or as high as 17%, given the sample results.### Multiple-Choice Question#### Choose the correct answer below:**A.** The statement indicates that the study is only 4% confident that the true population percentage of people that prefer chocolate pie is exactly 13%.**B.** The statement indicates that the study is 100% – 4% = 96% confident that the true population percentage of people that prefer chocolate pie is 13%.**C.** The statement indicates that the interval 13% ± 4% is likely to contain the true population percentage of people that prefer chocolate pie.**D.** The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 13% ± 4%.#### Explanation:When discussing the margin of error, the correct interpretation usually involves the confidence interval within which the true population parameter lies. Specifically, in this context:- **A** is incorrect because it misinterprets the margin of error as representing a level of confidence.- **B** is incorrect as it incorrectly subtracts the margin of error from 100% to derive a confidence level.- **C** is correct because it properly interprets that the interval (13% ± 4%) is likely to contain the true population percentage of people who prefer chocolate pie.- **D** is also correct in a similar sense as option C, but it simply confirms that the true population percentage is in the given interval.The best answer in context is:**C.** The statement indicates that the interval 13% ± 4% is likely to contain the true population percentage of people that prefer chocolate pie.

Given that: A poll of 500 adults were asked to identify their favorite pie. Among 500, 13% chose…

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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