Assume That You Plan to Use a Significance Level Of \alpha

Multiple Choice

Assume that you plan to use a significance level of $\alpha = 0.05$ to test the claim that $p _ { 1 } = p _ { 2 }$ . Use the given sample sizes and numbers of successes to find the pooled estimate $\bar { p }$ . Round your answer to the nearest thousandth.
$\begin{array} { l l } n _ { 1 } = 677 & n _ { 2 } = 3377 \\x _ { 1 } = 172 & x _ { 2 } = 654\end{array}$

A) $0.163$
B) $0.452$
C) $0.204$
D) $0.408$