In a survey of 1000 drivers from Region A, 871 wear a seat belt. In a survey of 1000 drivers from Region 8, 910 wear a seat belt. At a-0.01, is there evidence to support the claim that the proportion of drivers who wear seat belts Region A is less than the proportion of drivers who wear seat belts in Region 87 Assume that the samples are random and independent. Complete parts (a) through (e) below. (a) Identity the claim and state HD and Ha Identify the claim Let population 11 drivers from Region A and let population 2 be drivers from Region B. Choose the correct answer below A. The claim is that the proportions of drivers B. The claim is that the proportions of drivers w C. The claim is that the proportion of driven D. The claim is that the proportion o wear seat belts in both regions are equal. both regions odd up to 1 State HD and Ha. Choose the correct answer below AHO: php2 Hopp oter than the proportion of drivers who wear seat belts in Region B less than the proportion of drivers who wear seat belts in Region B BHO: plep2 Ha plap2 C.HD: plep2 Happ D.HO: ptg2 He: phap2 E.HO: plap2 He: php2 F.HD: plep2 Ha plup2 Find the critical values and identity the rejection region(s). Select the correct choice below and fill in the answer boxes to complete your choice. Round to two decimal places as needed) () Find the standardized test statistic, 20 Round to two decimal places as needed) Decide whether to reject or fall to reject the null hypothesis Since: in the rejection regional. gh evidence at the an 0.01 level of significance to support the claim that the proportion of drivers who wear seat belts in Region A is the proportion of drivers who wear seat belts in Region B

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Author:Amos Gilat
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In a survey of 1000 drivers from Region A, 871 wear a seat belt. In a survey of 1000 drivers from Region B, 919 wear a seat belt. At a=0.01, is there evidence to support the claim 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 B? Assume that the samples are random and independent. Complete parts (a) through (e) below.
(a) Identify the claim and state HD and Ha.
Identify the claim.
Let population 1 be drivers from Region A and let population 2 be drivers from Region B. Choose the correct answer below.
A. The claim is that the proportions of drivers who wear seat belts in both regions are equal.
B. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1.
C. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers who wear seat belts in Region B.
D. The claim is 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 B.
State HD and Ha. Choose the correct answer below.
A. HO: p1=p2 Ha: plap2
B. HO: pl<p2 He: plap2
C. HO:plsp2 Ha:pt>p2
D.HO: pt-p2 Ho: p1sp2
E. HO: plap2 Ho: p1<p2
F.HO: plap2 Ho: p1-p2
(b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
(c) Find the standardized test statistic, z.
2=
(Round to two decimal places as needed.)
(d) Decide whether to reject or fall to reject the null hypothesis.
Since in the rejection region(s).
MD.
(e) Interpret the decision in the context of the original claim.
There enough evidence at the a= 0.01 level of significance to support the claim that the proportion of drivers who wear seat belts in Region A is the proportion of drivers who wear seat belts in Region B.
Transcribed Image Text:In a survey of 1000 drivers from Region A, 871 wear a seat belt. In a survey of 1000 drivers from Region B, 919 wear a seat belt. At a=0.01, is there evidence to support the claim 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 B? Assume that the samples are random and independent. Complete parts (a) through (e) below. (a) Identify the claim and state HD and Ha. Identify the claim. Let population 1 be drivers from Region A and let population 2 be drivers from Region B. Choose the correct answer below. A. The claim is that the proportions of drivers who wear seat belts in both regions are equal. B. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1. C. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers who wear seat belts in Region B. D. The claim is 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 B. State HD and Ha. Choose the correct answer below. A. HO: p1=p2 Ha: plap2 B. HO: pl<p2 He: plap2 C. HO:plsp2 Ha:pt>p2 D.HO: pt-p2 Ho: p1sp2 E. HO: plap2 Ho: p1<p2 F.HO: plap2 Ho: p1-p2 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) (c) Find the standardized test statistic, z. 2= (Round to two decimal places as needed.) (d) Decide whether to reject or fall to reject the null hypothesis. Since in the rejection region(s). MD. (e) Interpret the decision in the context of the original claim. There enough evidence at the a= 0.01 level of significance to support the claim that the proportion of drivers who wear seat belts in Region A is the proportion of drivers who wear seat belts in Region B.
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