Question

.Results on seat belt usage from the 2003 Youth Risk Behavior Survey were published in a USA Snapshot on January 13, 2005. The following table outlines the results from the high school students who were surveyed in the state of Nebraska. They were asked whether or not they rarely or never wear seat belts when riding in someone else's car. Using α = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat belt usage?

	Female	Male
Rarely or never use seat belt	202	328
Uses seat belt	1203	1166

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
_____< p <_____
(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that gender is dependent to seat belt use. Fail to reject the null hypothesis, there is not significant evidence that gender is dependent to seat belt use.     Reject the null hypothesis, there is not significant evidence that gender is dependent to seat belt use. Fail to reject the null hypothesis, there is significant evidence that gender is dependent to seat belt use.

You may need to use the appropriate table in Appendix B to answer this question.

Answer 1