In a report concerning the rise of automation in the United States, 55% of the participants indicated that they would not ride in a driverless car, and 81% favor a requirement of having a human in the driver's seat in case of an emergency. Suppose that the numben participants was n= 420. Is there sufficient evidence to conclude that more than a simple majority of Americans would not ride in a driverless car?
In a report concerning the rise of automation in the United States, 55% of the participants indicated that they would not ride in a driverless car, and 81% favor a requirement of having a human in the driver's seat in case of an emergency. Suppose that the numben participants was n= 420. Is there sufficient evidence to conclude that more than a simple majority of Americans would not ride in a driverless car?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![In a report concerning the rise of automation in the United States, 55% of the participants indicated that they would not ride in a driverless car, and 81% favor a requirement of having a human in the driver's seat in case of an emergency. Suppose that the number o
participants was n = 420. Is there sufficient evidence to conclude that more than a simple majority of Americans would not ride in a driverless car?
A USE SALT
(a) Use a formal test of hypothesis with a = 0.05 to determine whether more than 50% of Americans would not ride in a driverless car.
State the null and alternative hypothesis.
O Ho: p + 0.5 versus H:p = 0.5
O Ho: p = 0.5 versus H: p > 0.5
O H: p = 0.5 versus H: p # 0.5
O Ho: p < 0.5 versus H: p > 0.5
O H: p = 0.5 versus H: p < 0.5
Find the test statistic. (Round your answer to two decimal places.)
z =
Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
z >
State your conclusion.
O H, is not rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O H, is rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O H, is not rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O H, is rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
(b) Use the p-value approach. (Use a = 0.05.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O The p-value is greater than alpha so H, is not rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O The p-value is greater than alpha so H, is not rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O The p-value is less than alpha so H, is rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O The p-value is less than alpha so H, is rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
Do the two approaches lead to the same conclusion?
O The two approaches lead to the different conclusions.
O The two approaches lead to the same conclusion.
You may need to use the appropriate appendix table to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1c4ecf6-4fc7-4dd3-8c6c-f2aac9b21c6d%2Ffe2274d5-f247-49a9-9b0c-0863ac9bd707%2Fd5ydec7_processed.png&w=3840&q=75)
Transcribed Image Text:In a report concerning the rise of automation in the United States, 55% of the participants indicated that they would not ride in a driverless car, and 81% favor a requirement of having a human in the driver's seat in case of an emergency. Suppose that the number o
participants was n = 420. Is there sufficient evidence to conclude that more than a simple majority of Americans would not ride in a driverless car?
A USE SALT
(a) Use a formal test of hypothesis with a = 0.05 to determine whether more than 50% of Americans would not ride in a driverless car.
State the null and alternative hypothesis.
O Ho: p + 0.5 versus H:p = 0.5
O Ho: p = 0.5 versus H: p > 0.5
O H: p = 0.5 versus H: p # 0.5
O Ho: p < 0.5 versus H: p > 0.5
O H: p = 0.5 versus H: p < 0.5
Find the test statistic. (Round your answer to two decimal places.)
z =
Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
z >
State your conclusion.
O H, is not rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O H, is rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O H, is not rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O H, is rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
(b) Use the p-value approach. (Use a = 0.05.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O The p-value is greater than alpha so H, is not rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O The p-value is greater than alpha so H, is not rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O The p-value is less than alpha so H, is rejected. There is sufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
O The p-value is less than alpha so H, is rejected. There is insufficient evidence to indicate that more than 50% of Americans would not ride in a driverless car.
Do the two approaches lead to the same conclusion?
O The two approaches lead to the different conclusions.
O The two approaches lead to the same conclusion.
You may need to use the appropriate appendix table to answer this question.
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