A 95 percent confidence interval of the form p̂ ± E will be used to obtain an estimate for an unknown population proportion p. If p̂ is the sample proportion and E is the margin of error, which of the following is the smallest sample size that will guarantee a margin of error of at most 0.08? A)25 B)100 C)175 D)250 E)625
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The formula for E when estimating a population proportion at a certain confidence level is given by: \[E = Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}\] where: - \(E\) is the margin of error, - \(Z\) is the Z-score corresponding to the desired confidence Show more…
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95 percent confidence interval is the form p̂ ± E will be used to obtain an estimate for an unknown population proportion If p is the sample proportion and E is the margin of error, which of the following is the smallest sample size that will guarantee a margin of error of at most 0.08? 25 100 175 250 625
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