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True or False? When Choosing the Sample Size for Estimating (1α)100%, if you take p0.5( 1 - \alpha ) 100 \% \text {, if you take } p \approx 0.5

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True or False? When choosing the sample size for estimating a population proportion p to within E units withconfidence (1α)100%, if you take p0.5( 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.

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