Question

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2500 occupants not wearing seat belts, 15 were killed. Among 7500 occupants wearing seat belts, 15 were killed. Use this data with 0.05 significance level to test the claim that the fatality rate is higher for those not wearing seat belts. (Write all necessary steps like Hypotheses, Test Statistic, P-value & Conclusion) Given that P(z<3.17)=0.9992.

Answer 1

From the given data,

The null and alternative hypothesis,

Level of significance is 0.05

H0: The mean of both fertility rate and not wearing seat belt is same

H1: The mean of fertility rate is higher than not wearing seat belt.

Test statistics,

Z=3.17

P Value is 0.9991

DECISION: We fail reject the null hypothesis because p value is greater than level of significance .

CONCLUSION: There is not sufficient evidence to support the claim that the fertility rate is higher than not wearing seat belt.