In a study of 12,000 car crashes, it was found that 6036 of them occurred within 5 miles of home (based on insurance company data). Use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home. Use this information to answer the following questions. a. Which of the following is the hypothesis test to be conducted? О А. Но: р-0.5 H1: p<0.5 В. Но: р3D0.5 H p 0.5 Ос. Но р> 0.5 H1 p 0.5 O D. Ho: p 0.5 H1: p 0.5 O E. Ho: p# 0.5 H1 p 0.5 OF. Но: р<0.5 H1 p 0.5 b. What is the test statistic? (Round to two decimal places as needed.) c. What is the P-value? P-value (Round to four decimal places as needed.) d. What is the conclusion? There is not sufficient evidence to support the claim that more than 50% of car crashes occur within 5 miles of home. There is sufficient evidence to support the claim that more than 50% of car crashes occur within 5 miles of home.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a study of 12,000 car crashes, it was found that 6036 of them occurred within 5 miles of home (based on insurance company data). Use a 0.01 significance level to test
the claim that more than 50% of car crashes occur within 5 miles of home. Use this information to answer the following questions.
a. Which of the following is the hypothesis test to be conducted?
О А. Но: р-0.5
H1: p<0.5
В. Но: р3D0.5
H p 0.5
Ос. Но р> 0.5
H1 p 0.5
O D. Ho: p 0.5
H1: p 0.5
O E.
Ho: p# 0.5
H1 p 0.5
OF. Но: р<0.5
H1 p 0.5
b. What is the test statistic?
(Round to two decimal places as needed.)
c. What is the P-value?
P-value
(Round to four decimal places as needed.)
d. What is the conclusion?
There is not sufficient evidence to support the claim that more than 50% of car crashes occur within 5 miles of home.
There is sufficient evidence to support the claim that more than 50% of car crashes occur within 5 miles of home.
Transcribed Image Text:In a study of 12,000 car crashes, it was found that 6036 of them occurred within 5 miles of home (based on insurance company data). Use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home. Use this information to answer the following questions. a. Which of the following is the hypothesis test to be conducted? О А. Но: р-0.5 H1: p<0.5 В. Но: р3D0.5 H p 0.5 Ос. Но р> 0.5 H1 p 0.5 O D. Ho: p 0.5 H1: p 0.5 O E. Ho: p# 0.5 H1 p 0.5 OF. Но: р<0.5 H1 p 0.5 b. What is the test statistic? (Round to two decimal places as needed.) c. What is the P-value? P-value (Round to four decimal places as needed.) d. What is the conclusion? There is not sufficient evidence to support the claim that more than 50% of car crashes occur within 5 miles of home. There is sufficient evidence to support the claim that more than 50% of car crashes occur within 5 miles of home.
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