The value obtained for the test statistic, $z,$ in a one$-$mean z$-$test is given. Whether the test is two tailed, left tailed, or right tailed is also specified. For parts $($a$)$ and $($b$),$ determine the P$-$value and decide whether, at the $10\%$ significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

a$.$ The test statistic in a right$-$tailed test is $z=0\mathrm{.}96.$

The $P-$value is

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

At the $10\%$ significance level, the data does not provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis because the obtained $P-$value is greater than the significance level.

b$.$ The test statistic in a right$-$tailed test is $z=-2\mathrm{.}24.$

The P$-$value is