Answered: A group of 2000 individuals from 3…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

A group of 2000 individuals from 3 different cities were asked whether they own a foreign or
a domestic car. The following contingency table shows the results of the survey.
CITY
Type of Car Detroit Atlanta Denver Total
Domestic 80 200 520 800
Foreign 120 600 480 1200
Total 200 800 1000 2000
At α = 0.01 using the p-value approach, test to determine if the number of domestic cars is
uniformly distributed across the cities. The data is also stored in the file named Cars.
a. State the null and the alternative hypotheses.
b. Compute the test statistic.
c. What is the p-value associated with the above sample results?
d. At 99% confidence, what is your conclusion?

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