A test is made of $H_0$:$=17$ versus $H_1$:$17.$ A sample of size $n=50$ is drawn, and $\stackrel{}{x}=20.$ The population standard deviation is $=8.$

$($a$)$ Compute the value of the test statistic $z.$

$($b$)$ Is $H_0$ rejected at the $=0\mathrm{.}10$ level?

$($c$)$ Is $H_0$ rejected at the $=0\mathrm{.}05$ level?A test is made of $H_0$:$=17$ versus $H_1$:$17.$ A sample of size $n=50$ is drawn, and $\stackrel{}{x}=20.$ The population standard deviation is $=8.$

$($a$)$ Compute the value of the test statistic $z.$

$($b$)$ Is $H_0$ rejected at the $=0\mathrm{.}10$ level?

$($c$)$ Is $H_0$ rejected at the $=0\mathrm{.}05$ level?

Dart $1$ af $2$

Part $2$ of $3$

Choose the correct type of hypothesis test. Then find the critical values for $=0\mathrm{.}10$ and $=0\mathrm{.}05.$ Round your answers to three decimal

places, if necessary.