You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?
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. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 3.5% of the true population proportion. How large of a
Expert Solution
Step 1
Given Information:
Confidence level = 90%
Error (e) = 0.035 (3.5%)
z score at 90% confidence level is 1.645
Population proportion (p) = 0.5 (it is assumed since it is not given)
The sample size can be calculated using following formula:
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