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 the color is chosen and car model are independent. 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, ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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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 the color is chosen and car model are independent.

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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