MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 HO 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 H0 and Ha. Choose the correct answer below. A. H0: p1=p2 Ha: p1#p2 B. HO: p1<p2 Ha: p1zp2 C. HO: p1sp2 Ha: p1>p2 D. HO: p1>p2 Ha: p1sp2 E. HO: p1ap2 Ha: p1<p2 F. H0: p1#p2 Ha: 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. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Since z in the rejection region(s), HO. 4 (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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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 HO 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 H0 and Ha. Choose the correct answer below. A. H0: p1=p2 Ha: p1#p2 B. HO: p1<p2 Ha: p1zp2 C. HO: p1sp2 Ha: p1>p2 D. HO: p1>p2 Ha: p1sp2 E. HO: p1ap2 Ha: p1<p2 F. H0: p1#p2 Ha: 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. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Since z in the rejection region(s), HO. 4 (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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Step 1: Determine the given information
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Step 2: Identify the claim and state the null and alternative hypothesis
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Step 3: Find the critical value.
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Step 4: Find the standardized test statistic
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Step 5: Conclude and interpret the decision
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