A sample size that will ensure a margin of error of at most the one specified.

Short Answer

Expert verified

The required sample size is 1,692.

Step by step solution

01

Given information

margin of error is 0.02 and the confidence level is 90%

02

calculation

When the margin of error is 0.02 and the confidence level is 90% , calculate the sample size.

With a 90% confidence level, the required value of from table areas under the standard normal curve is

Because 0.2 is close to the expected range of 0.5, use 0.2 asp'g

The sample size for this study is

role="math" localid="1651393241211" n=0.25(za_2EE)2=0.25(1.6450.02)2=0.25(6,765.0625)=1,691.2661692

The required sample size is 1,692.

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