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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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.
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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