91Ó°ÊÓ

$$\begin{gathered} H_0:\mathrm{μ}=15 \\ {H}_1:\mathrm{μ}≠15 \\ P=0.03 \end{gathered}$$

A significance test at the $100\%-99\%=1\%$significance level corresponds to a $99$percent confidence interval.

The null hypothesis is rejected if the P-value is less than the significance level.$P=0.03>0.01=1\%⇒Failtoreject{H}_0$

Because the null hypothesis failed to reject at the $1\%$ significance level, the null hypothesis value is used in the $99$ percent confidence interval.

A significance test at the $100\%-95\%=5\%$significance level is associated with a $95$percent confidence interval.

The null hypothesis is rejected if the $P-$value is less than the significance level.

$P=0.03<0.05=5\%⇒Reject{H}_0$

The $95$ percent confidence interval does not have the value specified in the null hypothesis since the null hypothesis fails at the $5\%$ significance level.