Suppose that a simple random sample is used to estimate

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QUESTION:

Suppose that a simple random sample is used to estimate the proportion of families in a certain area that are living below the poverty level. If this proportion is roughly .15, what sample size is necessary so that the standard error of the estimate is .02?

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QUESTION:

Suppose that a simple random sample is used to estimate the proportion of families in a certain area that are living below the poverty level. If this proportion is roughly .15, what sample size is necessary so that the standard error of the estimate is .02?

ANSWER:

Step 1 of 2

Given,

Proportion of families in a certain area that are living below the poverty level = 0.15

Standard error of the estimate = 0.02

\(\begin{array}{l}\text{i.e. } p=0.15\\
q=1-p \\
\therefore q=1-0.15=0.85\end{array}\)

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