True or False? When choosing the sample size for estimating a population proportion p to within E units withconfidence $$( 1 - \alpha ) 100 \% \text {, if you take } p \approx 0.5$$ as the approximation to p, you will always obtain a sample size thatis at least as large as required.

Question

Quizplus · Accepted Answer

Using $p \approx 0.5$ in the formula for estimating a population proportion maximizes the product $p(1-p)$, which in turn maximizes the sample size calculation, ensuring the sample size is at least as large as required for the desired confidence and margin of error.

True or False? When Choosing the Sample Size for Estimating (1−α)100%, if you take p≈0.5( 1 - \alpha ) 100 \% \text {, if you take } p \approx 0.5(1−α)100%, if you take p≈0.5

True or False? When Choosing the Sample Size for Estimating $( 1 - \alpha ) 100 \% \text {, if you take } p \approx 0.5$