A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error wasgiven as +3 percentage points. Describe what is meant by the statement that "the margin of error was given as 3 percentage points."Choose the correct answer below.O A. The statement indicates that the study is only 3% confident that the true population percentage of people that prefer chocolate pie is exactly 11%.B. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11% ±3%.C. The statement indicates that the interval 11% 3% is likely to contain the true population percentage of people that prefer chocolate pie.D. The statement indicates that the study is 100% - 3% - 97% confident that the true population percentage of people that prefer chocolate pie is 11%.

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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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A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was
given as +3 percentage points. Describe what is meant by the statement that "the margin of error was given as 3 percentage points."
Choose the correct answer below.
O A. The statement indicates that the study is only 3% confident that the true population percentage of people that prefer chocolate pie is exactly 11%.
B. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11% ±3%.
C. The statement indicates that the interval 11% 3% is likely to contain the true population percentage of people that prefer chocolate pie.
D. The statement indicates that the study is 100% - 3% - 97% confident that the true population percentage of people that prefer chocolate pie is 11%.

Expert Solution

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The margin of error is the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a survey of the entire population.

here, a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents 115 chose the chocolate pie, and the margin of error was given as

\pm 3

percentage points.

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