Suppose a group of $700$ smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the $386$ patients who received the antidepressant drug, $44$ were not smoking one year later. Of the $314$ patients who received the placebo, $126$ were not smoking one year later. Given the null hypothesis $H_0: (p_1 - p_2) = 0$ and the alternative hypothesis $H_a: (p_1 - p_2) \ne 0$, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use $\alpha = 0.1$
(a) $\ $ The rejection region is $|z| >$
(b) $\ $ The test statistic is $z =$
The final conclustion is

A. We can reject the null hypothesis that $(p_1 - p_2) = 0$ and accept that $(p_1 - p_2) \ne 0$.
B. There is not sufficient evidence to reject the null hypothesis that $(p_1 - p_2) = 0$.