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emilycarmadelle6653
08.07.2019 •
Mathematics
You are given e=0.020 a confidence level of 90% and a sample portion of 85% from a recent survey find the minimum sample size to estimate a population proportiona.1225b.259c.5751d.863
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Ответ:
The answer you are looking for is D.863
Ответ:
Option d)863
Step-by-step explanation:
Given that
e=Margin of error = 0.020
Confidence level =90%
zcritical for 90% =1.645
We have margin of error = 1.645 (std dev)/sq rt n
where n = sample size
Since p = 0.85
Std error =![\sqrt[2]{\frac{pq}{n} } =\sqrt[2]{\frac{0.85(0.15)}{n} } \\=\frac{0.357}{\sqrt[2]{n} }](/tpl/images/0066/7076/54829.png)
Substitute in margin of error to get
0.020=1.645(0.357)/sqrt n
Simplify to get
n=862.54
Since n cannot be in decimal round off to the next integer
n =863
Ответ: