A random sample of $100$ observations is selected from a binomial population with unknown probability of success $p$. The computed value of $\hat{p}$ is $0.72$.
(1) $\ $ Test $H_0: p = 0.5$ against $H_a: p > 0.5$. Use $\alpha = 0.05$.

test statistic $z =$

critical $z$ score $\ $
The final conclusion is

A. There is not sufficient evidence to reject the null hypothesis that $p = 0.5$.
B. We can reject the null hypothesis that $p = 0.5$ and accept that $p > 0.5$.

(2) $\ $ Test $H_0: p = 0.65$ against $H_a: p < 0.65$. Use $\alpha = 0.05$.

test statistic $z =$

critical $z$ score $\ $
The final conclusion is

A. There is not sufficient evidence to reject the null hypothesis that $p = 0.65$.
B. We can reject the null hypothesis that $p = 0.65$ and accept that $p < 0.65$.

(3) $\ $ Test $H_0: p = 0.5$ against $H_a: p \ne 0.5$. Use $\alpha = 0.05$.

test statistic $z =$

positive critical $z$ score $\ $

negative critical $z$ score $\ $
The final conclusion is

A. There is not sufficient evidence to reject the null hypothesis that $p = 0.5$.
B. We can reject the null hypothesis that $p = 0.5$ and accept that $p \ne 0.5$.