Let $n_1 = 100$, $X_1 = 20$, $n_2 = 100$, and $X_2 = 40$. Complete parts (a) and (b) below.
a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions?
Determine the null and alternative hypotheses. Choose the correct answer below.
A. $H_0: \pi_1 \le \pi_2$
$H_1: \pi_1 > \pi_2$
B. $H_0: \pi_1 = \pi_2$
$H_1: \pi_1 \neq \pi_2$
C. $H_0: \pi_1 \neq \pi_2$
$H_1: \pi_1 = \pi_2$
D. $H_0: \pi_1 \ge \pi_2$
$H_1: \pi_1 < \pi_2$