The resuts of a recent statewide test suggested that the proportion is 0.74. Using this estimate, wh

socorraob

socorraob

Answered question

2022-01-05

The resuts of a recent statewide test suggested that the proportion is 0.74. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?
A sample of 7410 elementary school children is needed to obtain a 99.9% confidence interval with a margin of error of 0.07.

Answer & Explanation

Shawn Kim

Shawn Kim

Beginner2022-01-06Added 25 answers

Given: proportion p=0.74
Margin for Error = E = 0.07
Sample size for 9.99% confidence.
α=0.001
zx2=z0.0005=3.29
we know E=zx2p(1p)n
So,
n=p(1p)[zx2E]2
=0.74(10.74)[3.290.07]2
=425.01
n=425
Ella Williams

Ella Williams

Beginner2022-01-07Added 28 answers

A sa,ple of 425 elementary school children is neded to obtain a 9.99% confidence interval with a margin of error of 0.07

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