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. O B. z< and z> C. D. z> 1.48 (c) Find the standardized test statistic. (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
In a survey of 500 drivers from the South, 408 wear a seat belt. In a survey of 370 drivers from the Northeast, 288 wear a seat belt. At a = 0.07, 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 H, and H.
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 p, represent the population proportion for the Northeast. State Ho and H
Choose the correct answer below.
O A. Ho: P1> P2
Ha: P, SP2
O B. Ho: P1 = P2
H,: P, *P2
OC. Ho: P1 *P2
H P, = P2
YE. Ho: P1 SP2
H P, > P2
OF. Ho: P1 2P2
H,: P, <P2
O D. Ho: P1 < P2
H: P, 2 P2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is(are) 1.48.
(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 B. z< and z>
OA.
<z<
YD. z> 1.48
Oc.
(c) Find the standardized test statistic.
z= (Round to two decimal places as needed.)
Transcribed Image Text:In a survey of 500 drivers from the South, 408 wear a seat belt. In a survey of 370 drivers from the Northeast, 288 wear a seat belt. At a = 0.07, 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 H, and H. 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 p, represent the population proportion for the Northeast. State Ho and H Choose the correct answer below. O A. Ho: P1> P2 Ha: P, SP2 O B. Ho: P1 = P2 H,: P, *P2 OC. Ho: P1 *P2 H P, = P2 YE. Ho: P1 SP2 H P, > P2 OF. Ho: P1 2P2 H,: P, <P2 O D. Ho: P1 < P2 H: P, 2 P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) 1.48. (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 B. z< and z> OA. <z< YD. z> 1.48 Oc. (c) Find the standardized test statistic. z= (Round to two decimal places as needed.)
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