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Chapter 11: Q. 11.31 (page 460)

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

Margin of error=0.01

Confidence level=95%

Short Answer

Expert verified

The required sample size is9,604.

Step by step solution

01

Given information

The given

Margin of error =0.01

Confidence level =95%

02

Explanation

Margin of error =0.01

Confidence level =95%

When the margin of error is 0.01and the confidence level is 95%, calculate the sample size.

With a 95%confidence level, the required value of za2from table areas under the standard normal curve is 1.96.

The sample size is

n=0.25z伪2E2

=0.251.960.012

=0.25(38,416)

=9,604.

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Margin of error=0.01

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