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