Question

In a survey of 1000 drivers from Region A, 878 wear a seat belt. In a survey of 1000 drivers from Region B. 923 wear a seat belt At a 001, is there evidence to support the dlaim that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region 8? Assume that the samples are random and independent Complete parts (a) through (e) below Identily the daim. Let population 1 be divers from Region A and let population 2 be drivers from Region B. Choose the correct answer below OA The dlaim is that the proportion of drivers who wear seat belts in Region A is less than the proportion of divers who wear seat belts in Region B. O B. The claim is that the proportions of divers who wear seat belts in both regions add up to 1 OC. The claim is that the proportions of drivers who wear seat bets in both regions are equal O D. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportien of drivers who wear seat belts in Region B. State Hg and H, Choose the corect answer below OB. H PP OA H Py Pz H, PP OC He PP H, PP H, P, SP OD. H, PP H, PP OF AP H, P P H PP

Answer 1

A. The claim is that the proportion of drivers who wear a seat belts in Region A is less than the proportion of drivers who wear a seat belts in Region B. H:12P2 HP.<P (b) EXCEL (PH Stat) output:

Z Test for Differences in Two Proportions Data Hypothesized Difference Level of significance Group 1 Number of Items of Interest Sample Size Group 2 Number of items of Interest Sample Size 1000 1000 Intermediate Calculations Group 1 Proportion Group 2 Proportion Difference in Two Proportions Average Proportion Z Test Statistic 0.878 0.923 -0.045 0.9005 -3.3616 Lower-Tail Test Lower Critical Value p-Value Reject the null hypothesis -2.3263 0.0004 A. There is one critical value, ze =-2.33, and one rejection region, z<-2.33.

The value of standardized test statistic is z=-3.36.