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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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![**Understanding Margin of Error in Poll Results**
A magazine reported 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.
**What is meant by the statement "the margin of error was ±3 percentage points"?**
Choose the correct answer below:
- **A.** The statement indicates that the study is only 3% confident that the true population percentage of people that prefer chocolate pie is in the interval 1% – 3%.
- **B.** The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 1% – 3%.
- **C.** The statement indicates that the interval 1% – 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%.
(Note: There are no graphs or diagrams to describe in this exercise.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F751b40fa-4722-4db5-b37f-331db27c30bb%2F136cf34a-4514-4474-9fc0-b945a7fe8a1a%2Fa9bj4m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Margin of Error in Poll Results**
A magazine reported 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.
**What is meant by the statement "the margin of error was ±3 percentage points"?**
Choose the correct answer below:
- **A.** The statement indicates that the study is only 3% confident that the true population percentage of people that prefer chocolate pie is in the interval 1% – 3%.
- **B.** The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 1% – 3%.
- **C.** The statement indicates that the interval 1% – 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%.
(Note: There are no graphs or diagrams to describe in this exercise.)
Expert Solution
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Step 1
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 percentage points.
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