Provide an appropriate response.
-True or False? When choosing the sample size for estimating a population proportion $\mathrm { p }$ to within $\mathrm { E }$ units with confidence $( 1 - \alpha ) 100 \%$, if you take $\mathrm { p } \approx 0.5$ as the approximation to p, you will always obtain a sample size that is at least as large as required.
A) True
B) False

Question

Quizplus · Accepted Answer

The formula for determining the sample size for estimating a population proportion includes the term $p(1-p)$. This term reaches its maximum value when $p = 0.5$, meaning that using $p \approx 0.5$ in the calculation will result in the largest sample size necessary to achieve the desired margin of error $E$ with the specified confidence level $(1 - \alpha)100\%$. This ensures that the sample size is at least as large as required for any value of $p$.

Provide an Appropriate Response p\mathrm { p }p To Within E\mathrm { E }E

Provide an Appropriate Response $\mathrm { p }$ To Within $\mathrm { E }$