A study is done in sydney to estimate the proportion of people  living there who have travelled outside of Austrilia. Previous research has found that is proportion is equal to roughly 28%. Find the minimum sample size needed for the study in order to obtain a minimum 5% margin of error in an approximate 95% confidence interval for this proportion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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A study is done in sydney to estimate the proportion of people  living there who have travelled outside of Austrilia. Previous research has found that is proportion is equal to roughly 28%.

Find the minimum sample size needed for the study in order to obtain a minimum 5% margin of error in an approximate 95% confidence interval for this proportion. 

Expert Solution
Step 1

Given:

Sample proportion p^=0.28

Confidence interval =0.95

So, α=1-0.95=0.05

Margin of error (E) 0.05

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