A city office has previous records indicating that 18% of cars have received parking tickets at some point. They are trying to implement a new program that they hope will reduce this proportion. After they complete the program, they find that only 16% of a random sample of 200 cars received parking tickets in the last year. They run a hypothesis test, and find a p-value of .231. Interpret the meaning of this p-value in the context of the problem.

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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A city office has previous records indicating that 18% of cars have received parking tickets at some point. They
are trying to implement a new program that they hope will reduce this proportion. After they complete the
program, they find that only 16% of a random sample of 200 cars received parking tickets in the last year. They
run a hypothesis test, and find a p-value of .231.
Interpret the meaning of this p-value in the context of the problem.
O If 18% of cars get parking tickets, there is a 23.1% chance of finding a sample in which 16% of cars get parking tickets
O 23.1% of samples will produce a proportion of no more than 18% of cars with parking tickets
O If 18% of cars get parking tickets, a sample with a proportion of 16% is unusual
O There is a 23.1% chance that we should not reject the null hypothesis
Transcribed Image Text:A city office has previous records indicating that 18% of cars have received parking tickets at some point. They are trying to implement a new program that they hope will reduce this proportion. After they complete the program, they find that only 16% of a random sample of 200 cars received parking tickets in the last year. They run a hypothesis test, and find a p-value of .231. Interpret the meaning of this p-value in the context of the problem. O If 18% of cars get parking tickets, there is a 23.1% chance of finding a sample in which 16% of cars get parking tickets O 23.1% of samples will produce a proportion of no more than 18% of cars with parking tickets O If 18% of cars get parking tickets, a sample with a proportion of 16% is unusual O There is a 23.1% chance that we should not reject the null hypothesis
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