In a survey of480drivers from the South,393wear a seat belt. In a survey of350drivers from the Northeast,293wear a seat belt. Atα=0.09,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 stateH0andHa. The claim is "the proportion of drivers who wear seat belts in the South is▼ different thangreater thanthe same asless thanin the Northeast."Letp1represent the population proportion for the South, andp2represent the population proportion for the Northeast. StateH0andHa. Choose the correct answer below. A.H0:p1≤p2Ha:p1p2 B.H0:p1=p2Ha:p1≠p2 C.H0:p1≥p2Ha:p1p2Ha:p1≤p2 F.H0:p1≠p2Ha:p1=p2(b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are)nothing.(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.) A.znothing B.znothing(c) Find the standardized test statistic. z=nothing(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. RejectH0because the test statisticisin the rejection region. RejectH0because the test statisticis notin the rejection region. Fail to rejectH0because the test statisticisin the rejection region. Fail to rejectH0because the test statisticis notin the rejection region.(e) Interpret the decision in the context of the original claim. Choose the correct answer below. A.At the9%significance level, there issufficientevidence to reject the claim. B.At the9%significance level, there issufficientevidence to support the claim. C.At the9%significance level, there isinsufficientevidence to support the claim. D.At the9%significance level, there isinsufficientevidence to reject the claim.

Question

In a survey of480drivers from the South,393wear a seat belt. In a survey of350drivers from the Northeast,293wear a seat belt. Atα=0.09,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 stateH0andHa. The claim is "the proportion of drivers who wear seat belts in the South is▼ different thangreater thanthe same asless thanin the Northeast."Letp1represent the population proportion for the South, andp2represent the population proportion for the Northeast. StateH0andHa. Choose the correct answer below. A.H0:p1≤p2Ha:p1>p2 B.H0:p1=p2Ha:p1≠p2 C.H0:p1≥p2Ha:p1p2Ha:p1≤p2 F.H0:p1≠p2Ha:p1=p2(b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are)nothing.(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.) A.z>nothing B.znothing(c) Find the standardized test statistic. z=nothing(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. RejectH0because the test statisticisin the rejection region. RejectH0because the test statisticis notin the rejection region. Fail to rejectH0because the test statisticisin the rejection region. Fail to rejectH0because the test statisticis notin the rejection region.(e) Interpret the decision in the context of the original claim. Choose the correct answer below. A.At the9%significance level, there issufficientevidence to reject the claim. B.At the9%significance level, there issufficientevidence to support the claim. C.At the9%significance level, there isinsufficientevidence to support the claim. D.At the9%significance level, there isinsufficientevidence to reject the claim.

Accepted Answer

Given :

x1= 393

n1= 480

x2= 293

n2= 350

significance level, 0.09