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Chapter 9: Q.11.48 (page 460)

We have specified a margin of error, a confidence level, and a likely range for the observed value of the sample proportion. For each exercise, obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5than the educated guess).Obtain a sample size that will ensure a margin of error of at most the one specified.

marginoferror=0.04;confidencelevel=99%;likelyrange=0.7orless

Short Answer

Expert verified

A sample size that will ensure a margin of error of at most the one specified.is approximately1,037

Step by step solution

01

step1: Given information

When the margin of error is 0.04 and the confidence level is 99% , calculate the sample size.

02

calculation

When the margin of error is 0.04and the confidence level is 99%, we can calculate the sample size.

With a 99%confidence level, the required value of localid="1651496589910" z伪/2from table areas under the standard normal curve is 2.575

Use localid="1651496594165" p'g=.05Because the value in the range is close to 0.5.

The sample size for this study is,

localid="1651496599039" n=0.25za_2E2=0.252.5750.042=0.25(4,144.14)=1,036.04鈮�1,037

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Most popular questions from this chapter

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