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Chapter 11: Q. 11.34 (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=90%

Short Answer

Expert verified

The required sample size is6766.

Step by step solution

01

Given information

The given data is

Margin of error =0.01

Confidence level =90%

02

Explanation

The given data is

Margin of error =0.01

Confidence level =90%

When the margin of error is 0.01and the confidence level is 90%, calculate the sample size.

With a 90%confidence level, the required value of za2from table areas under the standard normal curve is 1.645.

Then the sample size is

n=0.25za炉E2

=0.251.6450.012

=0.25(27,060.25)

=6,765.06

鈮�6766.

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Most popular questions from this chapter

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In this Exercise, we have given the number of successes and the sample size for a simple random sample from a population. In each case,

a. use the one-proportion plus-four z-interval procedure to find the required confidence interval.

b. compare your result with the corresponding confidence interval found in Exercises 11.25-11.30, if finding such a confidence interval was appropriate.

x=3,n=100,99%level
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