Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H0: p = 60% and Ha: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using a = 0.01, what conclusion should Simone reach? A) Because the P-value of 0.035 > a, Simone should reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%. B) Because the P-value of 0.035 > a, Simone should reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%. C) Because the P-value of 0.035 > a, Simone should fail to reject H0. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%. D) Because the P-value of 0.035 > a, Simone should fail to reject H0. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H₀: p = 60% and H_a: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using a = 0.01, what conclusion should Simone reach?

A) Because the P-value of 0.035 > a, Simone should reject H₀. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

B) Because the P-value of 0.035 > a, Simone should reject H₀. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

C) Because the P-value of 0.035 > a, Simone should fail to reject H₀. There is convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

D) Because the P-value of 0.035 > a, Simone should fail to reject H₀. There is not convincing evidence that the Arizona written driver’s test has a true first-attempt failure rate less than 60%.

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