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 Red White Black Toyota 17 25 Hyundai 19 35 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, x², for red vehicle and the Toyota model i. Given that the chi-square test statistic, x², is 2.1183, find the p-value for test State the conclusion for the test. State 2 limitations of the chi-square test, x². I1. ii.

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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
Тoyota
Hyundai
19
Red
17
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.
i.
ii.
State 2 limitations of the chi-square test, x².
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 Тoyota Hyundai 19 Red 17 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. i. ii. State 2 limitations of the chi-square test, x².
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