You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=26%. You would like to be 99.9% confident that your estimate is within 1% of the true population proportion. How large of sample size is required? n =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p∗=26%. You would like to be 99.9% confident that your estimate is within 1% of the true population proportion. How large of sample size is required?

n =

Expert Solution
Step 1

From the given information,

Margin error (E) = 0.01

Population proportion = 0.26

 

The objective is finding the sample size.

 

Critical value:

Using z-table, the z-critical value at the given significance level of α = 0.001 is,

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