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 =
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
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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
n =
Expert Solution
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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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