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 $P$ -value for the hypothesis test.
$$\begin{array} { l l } n _ { 1 } = 100 & n _ { 2 } = 100 \\x _ { 1 } = 38 & x _ { 2 } = 40\end{array}$$

A) $0.1610$
B) $0.2130$
C) $0.7718$
D) $0.0412$