The table below shows the color and the model of cars purchased by 160 randomly selected customers at a car dealership in 2020. Use a 5 percent level of significance to test the null hypothesis that color chosen and car model  are independent. i. State the null and alternative hypotheses for this test.  ii. Calculate: a. the expected frequency for red vehicle and the Toyota model b. the chis-square contribution, ?2 for red vehicle and the Toyota model i. Given that the chi-square test statistic, ?2, is 2.1183, find the p-value for test  ii. State the conclusion for the test. iii. State 2 limitations of the chi-square test, ?2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

The table below shows the color and the model of cars purchased by 160 randomly selected customers at a car dealership in 2020.

Use a 5 percent level of significance to test the null hypothesis that color chosen and car model 
are independent.
i. State the null and alternative hypotheses for this test. 
ii. Calculate:
a. the expected frequency for red vehicle and the Toyota model
b. the chis-square contribution, ?2 for red vehicle and the Toyota model
i. Given that the chi-square test statistic, ?2, is 2.1183, find the p-value for test 
ii. State the conclusion for the test.
iii. State 2 limitations of the chi-square test, ?2

Model
Hyundai
19
Color
Toyota
Red
17
White
25
35
Black
35
29
Transcribed Image Text:Model Hyundai 19 Color Toyota Red 17 White 25 35 Black 35 29
Expert Solution
steps

Step by step

Solved in 6 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman