Chapter 6, Section 1-CI, Exercise 038 the absolute tolerance is +/-2 LINK TO TEX

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Chapter 6, Section 1-CI, Exercise 038

the absolute tolerance is +/-2

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Chapter 6, Section 1-CI, Exercise 038

What Proportion Favor a Gun Control Law?

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 99% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size =

the absolute tolerance is +/-2

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Explanation / Answer

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.01 is = 2.576

Sample Proportion = 0.5

ME = 0.05

n = ( 2.576 / 0.05 )^2 * 0.5*0.5

= 663.5776 ~ 664

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