b) The table below shows the color and the model of cars purchased by 160 randomly selected customers at a car dealership in 2020. Model Color Toyota Hyundai Red 17 19 White Black 25 35 35 29 Use a 5 percent level of significance to test the null hypothesis that color chosen and car model are independent. State the null and alternative hypotheses for this test. Calculate: i. ii. a. the expected frequency for red vehicle and the Toyota model b. the chis-square contribution, x², for red vehicle and the Toyota model Given that the chi-square test statistic, x2, is 2.1183, find the p-value for test | State the conclusion for the test. i. ii. iii. State 2 limitations of the chi-square test, x.

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
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answer part b sections i, ii and iii

b) The table below shows the color and the model of cars purchased by 160 randomly
selected customers at a car dealership in 2020.
Model
Color
Toyota
Hyundai
Red
17
19
White
25
35
Black
35
29
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, x?, for red vehicle and the Toyota model
Given that the chi-square test statistic, x?, is 2.1183, find the p-value for test |
State the conclusion for the test.
State 2 limitations of the chi-square test, x2.
i.
ii.
iii.
Transcribed Image Text:b) The table below shows the color and the model of cars purchased by 160 randomly selected customers at a car dealership in 2020. Model Color Toyota Hyundai Red 17 19 White 25 35 Black 35 29 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, x?, for red vehicle and the Toyota model Given that the chi-square test statistic, x?, is 2.1183, find the p-value for test | State the conclusion for the test. State 2 limitations of the chi-square test, x2. i. ii. iii.
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