In a survey of 490 drivers from the South, 396 wear a seat belt. In a survey of 360 drivers from the Northeast, 286 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). Part 1 a) Identify the claim and state Upper Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is, Part 2 Let p1 represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State HO and Ha. in the Northeast." Part 3 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.) Part 4 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.) Part 5 Find the standardized test statistic. 2= (Round to two decimal places as needed.) Part 6 Decide whether to reject or fail to reject the null hypothesis. Fail to reject Reject Part 7 Interpret the decision in the context of the original claim.
In a survey of 490 drivers from the South, 396 wear a seat belt. In a survey of 360 drivers from the Northeast, 286 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). Part 1 a) Identify the claim and state Upper Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is, Part 2 Let p1 represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State HO and Ha. in the Northeast." Part 3 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.) Part 4 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.) Part 5 Find the standardized test statistic. 2= (Round to two decimal places as needed.) Part 6 Decide whether to reject or fail to reject the null hypothesis. Fail to reject Reject Part 7 Interpret the decision in the context of the original claim.
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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Transcribed Image Text:In a survey of 490 drivers from the South, 396 wear a seat belt. In a survey of 360 drivers from the Northeast, 286 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).
Part 1
a) Identify the claim and state
Upper H0 and Ha.
The claim is "the proportion of drivers who wear seat belts in the South is,
Part 2
Let p1 represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State HO and Ha.
Part 3
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.)
in the Northeast."
Part 4
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.)
Part 5
Find the standardized test statistic.
z=
(Round to two decimal places as needed.)
Part 6
Decide whether to reject or fail to reject the null hypothesis.
Fail to reject
Reject
Part 7
Interpret the decision in the context of the original claim.
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