Consider the hypotheses shown below. Given that $x=111,=25,n=41,=0\mathrm{.}10,$ complete parts a and $b.$

$H_0$:$=119$

$H_1$:$119$

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$)$