In a survey of 500 drivers from the South, 396 wear a seat belt. In a...

  

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In a survey of 500 drivers from the South, 396 wear a seat belt. In a survey of 350 drivers from the Northeast, 283 wear a seat belt. At a = 0.06, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is v in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Ho and Ha. Choose the correct answer below. OC. Ho: P1 = P2 O A. Ho: P1 2P2 Ha: P1 <P2 O B. Ho: P1 > P2 Ha: P1 SP2 Hai P1 # P2 O D. Ho: P1 SP2 Ha: P1 > P2 O E. Ho: P1 <P2 OF. Ho: P1 #P2 Ha: P1 2 P2 Ha: P1 = P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. z> O B. z< and z> O C. z< OD. <z< (c) Find the standardized test statistic. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Reject H, because the test statistic is in the rejection region. Fail to reject Ho because the test statistic is in the rejection region. Fail to reject Ho because the test statistic is not in the rejection region. O Reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 6% significance level, there is insufficient evidence to reject the claim. O B. At the 6% significance level, there is insufficient evidence to support the claim. OC. At the 6% significance level, there is sufficient evidence to reject the claim. O D. At the 6% significance level, there is sufficient evidence to support the claim. In a survey of 500 drivers from the South, 396 wear a seat belt. In a survey of 350 drivers from the Northeast, 283 wear a seat belt. At a = 0.06, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is v in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Ho and Ha. Choose the correct answer below. OC. Ho: P1 = P2 O A. Ho: P1 2P2 Ha: P1 <P2 O B. Ho: P1 > P2 Ha: P1 SP2 Hai P1 # P2 O D. Ho: P1 SP2 Ha: P1 > P2 O E. Ho: P1 <P2 OF. Ho: P1 #P2 Ha: P1 2 P2 Ha: P1 = P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. z> O B. z< and z> O C. z< OD. <z< (c) Find the standardized test statistic. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Reject H, because the test statistic is in the rejection region. Fail to reject Ho because the test statistic is in the rejection region. Fail to reject Ho because the test statistic is not in the rejection region. O Reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. Choose the correct answer below. O A. At the 6% significance level, there is insufficient evidence to reject the claim. O B. At the 6% significance level, there is insufficient evidence to support the claim. OC. At the 6% significance level, there is sufficient evidence to reject the claim. O D. At the 6% significance level, there is sufficient evidence to support the claim.