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Chapter 8: Q.62 (page 481)

When designing a study to determine this population proportion, what is the minimum number you would need to survey to be 90% confident that the population proportion is estimated to within 0.05 ?

Short Answer

Expert verified

The sample size isn=271.

Step by step solution

01

Given Information

The confident level is 90%and the error estimating is0.05.

02

Explanation

The sample size is

n=z伪2EBP2p(1-p)

The confident level is 90%,

伪2=1-0.902=0.05

z伪2=1.645

The estimated proportion is q=1-p,

Both are equal to 0.5because pq=0.5*0.5=0.25

n=1.6450.0520.25

n=271

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