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, ?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
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, ?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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