Results on seat belt usage from the 2003 Youth Risk Behavior Survey were publish

Q: Results on seat belt usage from the 2003 Youth Risk Behavior Survey were publish

To find the gender independence,we need to test that the test proportions are equal of not. p1=0.1406, p2=0.2119 s=sqrt(p*(1-p)/n) s1=0.0092, s2=0.0106 sigma=sqrt(s1^2/n1+s2^2/n2) t=(p1-p2)/sigma =5.08 Hence p=2*P(Z

ID: 3152485 • Letter: R

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 = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat belt usage?

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

(ii) Find the p-value. (Give your answer bounds exactly.)
< p <

Female Male Rarely or never use seat belt 202 313 Uses seat belt 1235 1164

Explanation / Answer

To find the gender independence,we need to test that the test proportions are equal of not.

p1=0.1406, p2=0.2119

s=sqrt(p*(1-p)/n)

s1=0.0092, s2=0.0106

sigma=sqrt(s1^2/n1+s2^2/n2)

t=(p1-p2)/sigma =5.08

Hence p=2*P(Z<-5.08) approximately 0

Hence gender and seat belt usage have no relationship

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Results on seat belt usage from the 2003 Youth Risk Behavior Survey were publish

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