91Ó°ÊÓ

The given values are,

$$\begin{gathered} x_1=792, \\ {n}_1=1000, \\ {x}_2=924, \\ {n}_2=1100, \\ \mathrm{Î\pm }=0.01 \end{gathered}$$

The null hypothesis.

$H_0:p_1=p_2$

The null hypothesis.

$H_a:p_1≠p_2$

Calculate the value of test statistics and $p$- values by using MINITAB.

MINITAB output:

Test and $\mathrm{Cl}$for two proportions.

From the MINITAB output, the test statistic is $-2.95$and the $p$- value $0.003$.

The significance level $alpha=0.01.$

The $p$-value is lesser than the level of significance.

$p\text{- value}(=0.003)<(=0.01).$

Using the rejection rule, it can be concluded that there is evidence to reject the null hypothesis $\left(H_0\right)$at $alpha=0.01.$

The data show that there is a significant difference in seat belt use between the two age groups.

As a result, the data provide enough evidence to conclude that there is a significant difference in seat belt use between the two age groups.