Conduct the hypothesis test:

a simple random sample of front-seat occupants involved in car crashes is obtained. among 2823 occupants not wearing seat belts, 31 were killed. among 7765 occupants wearing seat belts, 16 were killed. use this data with a 0.05 significance level to test the claim that the fatality rate is higher for those not wearing seat belts.

There is sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.

Step-by-step explanation:

Among 2823 occupants not wearing seat belts, 31 were killed.

Among 7765 occupants wearing seat belts, 16 were killed.

Let and be the fatality rate for hose not wearing seat belts and wearing seat belts receptively .

Claim :the fatality rate is higher for those not wearing seat belts

So,

We will use Comparing Two Proportions

Formula of test statistic :

Test statistic :

Test statistic :

Test statistic :

Significance level- 0.05

So, z at 0.05 = 1.96

z statistic > z critical

So, We failed to accept null hypothesis

Hence There is sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.