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 your estimate is within 1.5% of the true population proportion. How large of a sample size is required? n =

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 48WE
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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 your estimate is
within 1.5% of the true population proportion. How large of a sample size is required?
n =
Transcribed Image Text: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 your estimate is within 1.5% of the true population proportion. How large of a sample size is required? n =
Expert Solution
Step 1: determine the given variable

stack P space with hat on top equals 0.5
m a r g i n space o f space e r r o r equals 0.015
a t space 90 percent sign space c o n f i d e n c e space l e v e l space
Z subscript alpha over 2 end subscript equals 1.645

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