Consider the hypotheses shown below. Given that $\stackrel{}{x}=44,=11,n=32,=0\mathrm{.}05,$ complete parts a and b$.$

$H_0$:$42$

$H_1$:$>42$

a$)$ What conclusion should be drawn?

b$)$ Determine the $p-$value for this test.

a$)$ The z$-$test statistic is

$($Round to two decimal places as needed.$)$