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 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: [2] 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. [1] [1] Given that the chi-square test statistic, x², is 2.1183, find the p-value for test [2] ii. State the conclusion for the test. [2] [2] iii. State 2 limitations of the chi-square test, x².

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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
Hyundai
19
Color
Тoyota
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.
Calculate:
ii.
[2]
the expected frequency for red vehicle and the Toyota model
b. the chis-square contribution, x², for red vehicle and the Toyota model
[1]
[1]
Given that the chi-square test statistic, x?, is 2.1183, find the p-value for test [2]
[2]
[2]
i.
ii.
State the conclusion for the test.
iii.
State 2 limitations of the chi-square test, x.
EEIJI
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 Hyundai 19 Color Тoyota 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. Calculate: ii. [2] the expected frequency for red vehicle and the Toyota model b. the chis-square contribution, x², for red vehicle and the Toyota model [1] [1] Given that the chi-square test statistic, x?, is 2.1183, find the p-value for test [2] [2] [2] i. ii. State the conclusion for the test. iii. State 2 limitations of the chi-square test, x. EEIJI
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