Suppose You Want to Estimate a Population Proportion $p$ Where $\hat { p } = 0.61 , n = 1000$

Suppose you want to estimate a population proportion $p$ where $\hat { p } = 0.61 , n = 1000$ , and $N = 7500$ . Find an approximate $95 \%$ confidence interval for p.

A) $0.61 \pm .046$
B) $0.61 \pm .056$
C) $0.61 \pm .036$
D) $0.61 \pm .029$