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Chapter 11: Q. 11.43 (page 460)

Obtain a sample size

Margin of error =0.01

Confidence level =95%

likely range=0.2-0.4

Short Answer

Expert verified

The required sample size is9,604.

Step by step solution

01

Given information

Margin of error =0.01

Confidence level =95%

Likely range 0.2-0.4

02

Explanation

From the given data

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

Use pg'=0.4because the value in the range closet to 0.5

The sample size is

n=0.25zα¯EE2

=0.251.960.012

=0.25(38,416)

=9,604.

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Most popular questions from this chapter

Obtain a sample size

Margin of error =0.02

Confidence level =95%

Likely range 0.4-0.7

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