You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 28%. You would like to be 90% confident that your estimate is within 4.5% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 28%. You would like to be 90% confident that your estimate is within 4.5% of the true population proportion. How large of a sample size is required?
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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![### Sample Size Determination for Estimating a Population Proportion
#### Problem Statement:
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 28%. You would like to be 90% confident that your estimate is within 4.5% of the true population proportion. How large of a sample size is required?
#### Hint:
For additional help, watch the [Video](#).
#### Solution:
The sample size is calculated as follows:
\[ n = 269.40 \]
(*Please note that n should be rounded up when determining sample size in practical applications. Therefore, the required sample size would be 270.*)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2f87264-31b7-42a7-8a6c-1a7d396f05e3%2F5b876c75-8bac-4ca5-9997-f1cacb965a41%2Fd2ljq6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Sample Size Determination for Estimating a Population Proportion
#### Problem Statement:
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 28%. You would like to be 90% confident that your estimate is within 4.5% of the true population proportion. How large of a sample size is required?
#### Hint:
For additional help, watch the [Video](#).
#### Solution:
The sample size is calculated as follows:
\[ n = 269.40 \]
(*Please note that n should be rounded up when determining sample size in practical applications. Therefore, the required sample size would be 270.*)
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