Question

Among 2200 randomly selected adult male passengers 1884 wear seat belts. Among 2280 randomly selected adult female passengers 1999 wear seat belts. Use a 0.05 significance level to test the claim that the rate of male passengers who wear seat belts is lower than the rate of female passengers who wear seat belts.

H0: p1____p2 For Q35 (circle one: equal to, less than, greater than, not equal to)

H1: p1____ p2 For Q36 (circle one: equal to, less than, greater than, not equal to)

Test Statistic z =__________ Q37 (ROUND TO 2 DECIMAL PLACES)

P-value: p =_____________ Q38 (ROUND TO 4 DECIMAL PLACES)

Decision:________________________ Q39 (circle one: Reject H0, Fail to Reject H0)

Conclusion:______________________________________________________________ Q40 Circle one for the conclusion:

There is sufficient evidence to support the claim.

OR

There is not sufficient evidence to support the claim.

Construct an appropriate confidence interval ( ______________Q41, _______________ Q42) (ROUND TO 3 DECIMAL PLACES)

A sample of 84 undergraduate students spend mean of 12.7 hrs per week studying with a standard deviation of 3.4 hrs per week. A sample of 70 graduate students spend mean of 13.1 hrs per week studying with a standard deviation of 2.9 hrs per week. Use a 0.05 significance level to test the claim that undergraduate and graduate students

spend the same mean hrs per week studying.(Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal.)

H0: μ1____μ2 For Q43 (circle one: equal to, less than, greater than, not equal to)

H1: μ1____μ2 For Q44 (circle one: equal to, less than, greater than, not equal to)

Test Statistic t =__________ Q45 (ROUND TO 2 DECIMAL PLACES)

P-value: p =_____________ Q46 (ROUND TO 4 DECIMAL PLACES)

Decision:________________________Q47 (circle one: Reject H0 ,Fail to Reject H0)

Conclusion:______________________________________________________________Q48 Circle one for the conclusion:

There is sufficient evidence to warrant rejection of the claim.

OR

There is not sufficient evidence to warrant rejection of the claim.

Construct an appropriate confidence interval ( ______________Q49,_______________ Q50)(ROUND TO 3 DECIMAL PLACES)

Answer 1