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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 90% confident that you esimate is within 5% of the true population proportion. How large of a sample size is required? n =

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 90% confident that you esimate is within 5% of the true population proportion. How large of a sample size is required? n =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 6SGR
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**Sample Size Calculation for Population Proportion Estimation** To estimate a population proportion without a preliminary estimate, it's essential to determine the required sample size. This example outlines a scenario where you aim for a 90% confidence level, with your estimate being within 5% of the true population proportion. **Requirements:** - You need to determine the sample size (`n`). - Desired confidence level: 90% - Margin of error: 5% **Instructions:** - Do not round during mid-calculations. - Use a critical value accurate to three decimal places. **Support:** - If you have questions, you can access help via the "Message Instructor" option. **Action:** - Once calculated, input your sample size in the provided field and click "Submit Question" to proceed. This exercise helps in understanding the implications of confidence levels and margins of error on the sample size needed for estimating population proportions accurately.
Transcribed Image Text:**Sample Size Calculation for Population Proportion Estimation** To estimate a population proportion without a preliminary estimate, it's essential to determine the required sample size. This example outlines a scenario where you aim for a 90% confidence level, with your estimate being within 5% of the true population proportion. **Requirements:** - You need to determine the sample size (`n`). - Desired confidence level: 90% - Margin of error: 5% **Instructions:** - Do not round during mid-calculations. - Use a critical value accurate to three decimal places. **Support:** - If you have questions, you can access help via the "Message Instructor" option. **Action:** - Once calculated, input your sample size in the provided field and click "Submit Question" to proceed. This exercise helps in understanding the implications of confidence levels and margins of error on the sample size needed for estimating population proportions accurately.
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