6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a seat belt. At x =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). !!

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6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a
seat belt. At x = 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 state Ho and Ha.
The claim is "the proportion of drivers who wear seat belts in the South is greater than 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.
C. Ho: P1 2 P2
Ha: P1 <P2
F. Ho: P1 = P2
Ha: P1 * P2
OA. Ho: P1 > P2
Ha: P1 SP2
B. Ho: P1 <P2
D. Ho: P1 *P2
Ha: P1 = P2
Hạ: P12 P2
VE. Ho: P1 SP2
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>
Oc.
<z<
O D. z<
(c) Find the standardized test statistic.
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Choose the correct answer below.
Fail to reject H, because the test statistic is in the rejection region.
Reject H, because the test statistic is in the rejection region.
Fail to reject H, because the test statistic is not in the rejection region.
Reject H, 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 9% significance level, there is sufficient evidence to support the claim.
O B. At the 9% significance level, there is insufficient evidence to support the claim.
C. At the 9% significance level, there is insufficient evidence to reject the claim.
D. At the 9% significance level, there is sufficient evidence to reject the claim.
U.U1, Can you support the claim that the
paoportion of newlywed whites who have a spouse of a different race or
lulooke who have a spouse
Transcribed Image Text:6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a seat belt. At x = 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 state Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is greater than 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. C. Ho: P1 2 P2 Ha: P1 <P2 F. Ho: P1 = P2 Ha: P1 * P2 OA. Ho: P1 > P2 Ha: P1 SP2 B. Ho: P1 <P2 D. Ho: P1 *P2 Ha: P1 = P2 Hạ: P12 P2 VE. Ho: P1 SP2 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> Oc. <z< O D. z< (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Fail to reject H, because the test statistic is in the rejection region. Reject H, because the test statistic is in the rejection region. Fail to reject H, because the test statistic is not in the rejection region. Reject H, 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 9% significance level, there is sufficient evidence to support the claim. O B. At the 9% significance level, there is insufficient evidence to support the claim. C. At the 9% significance level, there is insufficient evidence to reject the claim. D. At the 9% significance level, there is sufficient evidence to reject the claim. U.U1, Can you support the claim that the paoportion of newlywed whites who have a spouse of a different race or lulooke who have a spouse
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