A study reported that 14 percent of cars registered in 2015 had a manual transmission. An automotive researcher collected data on cars registered in 2021 to investigate whether the proportion of registered cars with a manual transmission is less than 0.14. The researcher took a random sample of 150 cars registered in 2021 and found 18 of the cars had a manual transmission. After ensuring the conditions for inference were met, the researcher conducted an appropriate hypothesis test and calculated a p-value of 0.24. At the 5 percent level of significance, which of the following conclusions should be made? (A) (B) The null hypothesis should be rejected. There is significant evidence that the population proportion of registered cars with a manual transmission in 2021 is less than 0.14. The null hypothesis should be rejected. There is not significant evidence that the population proportion of registered cars with a manual transmission in 2021 is less than 0.14. The null hypothesis should not be rejected. There is significant evidence that the population proportion of registered cars with a manual transmission in 2021 is not less than 0.14. The null hypothesis should not be rejected. There is significant evidence that the population proportion of (D) registered cars with a manual transmission in 2021 is equal to 0.14. (E) The null hypothesis should not be rejected. There is not significant evidence that the population proportion of registered cars with a manual transmission in 2021 is less than 0.14.
A study reported that 14 percent of cars registered in 2015 had a manual transmission. An automotive researcher collected data on cars registered in 2021 to investigate whether the proportion of registered cars with a manual transmission is less than 0.14. The researcher took a random sample of 150 cars registered in 2021 and found 18 of the cars had a manual transmission. After ensuring the conditions for inference were met, the researcher conducted an appropriate hypothesis test and calculated a p-value of 0.24. At the 5 percent level of significance, which of the following conclusions should be made? (A) (B) The null hypothesis should be rejected. There is significant evidence that the population proportion of registered cars with a manual transmission in 2021 is less than 0.14. The null hypothesis should be rejected. There is not significant evidence that the population proportion of registered cars with a manual transmission in 2021 is less than 0.14. The null hypothesis should not be rejected. There is significant evidence that the population proportion of registered cars with a manual transmission in 2021 is not less than 0.14. The null hypothesis should not be rejected. There is significant evidence that the population proportion of (D) registered cars with a manual transmission in 2021 is equal to 0.14. (E) The null hypothesis should not be rejected. There is not significant evidence that the population proportion of registered cars with a manual transmission in 2021 is less than 0.14.
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
Related questions
Question
Transcribed Image Text:A study reported that 14 percent of cars registered in 2015 had a manual transmission. An automotive researcher
collected data on cars registered in 2021 to investigate whether the proportion of registered cars with a manual
transmission is less than 0.14. The researcher took a random sample of 150 cars registered in 2021 and found 18
of the cars had a manual transmission.
After ensuring the conditions for inference were met, the researcher conducted an appropriate hypothesis test and
calculated a p-value of 0.24. At the 5 percent level of significance, which of the following conclusions should be
made?
(A)
(B)
The null hypothesis should be rejected. There is significant evidence that the population proportion of
registered cars with a manual transmission in 2021 is less than 0.14.
The null hypothesis should be rejected. There is not significant evidence that the population proportion of
registered cars with a manual transmission in 2021 is less than 0.14.
The null hypothesis should not be rejected. There is significant evidence that the population proportion of
registered cars with a manual transmission in 2021 is not less than 0.14.
The null hypothesis should not be rejected. There is significant evidence that the population proportion of
(D) registered cars with a manual transmission in 2021 is equal to 0.14.
(E)
The null hypothesis should not be rejected. There is not significant evidence that the population proportion of
registered cars with a manual transmission in 2021 is less than 0.14.
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