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)
H0: p1 <p2
H1: p1>p2
the critical value for a right-tailed test is z_c = 1.64.
Test Statistic z
Since it is observed that , then the null hypothesis is not rejected.
The p-value is since 0.9777>0.05 the null hypothesis is not rejected
There is sufficient evidence to support the claim.
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