For each of the following​ situations, state whether you would use a​ chi-square goodness-of-fit​ test, a​ chi-square test of​ homogeneity, a​ chi-square test of​ independence, or some other statistical test. Complete parts​ a) through​ c) below. ​a) Is the quality of a car affected by what day it was​ built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week. Choose the correct answer below.   A. ​Chi-square test of independence. You have data on two​ variables, day and​ quality, for one manufacturer.   B. ​Chi-square goodness-of-fit test. You want to see if the distribution of defects is uniform over the variable day.   C. ​Chi-square test of homogeneity. You have two samples and one​ variable, day. You want to see if the distribution of quality is the same in the two years.   D. Some other statistical test. The variable day is​ quantitative, not counts.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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For each of the following​ situations, state whether you would use a​ chi-square goodness-of-fit​ test, a​ chi-square test of​ homogeneity, a​ chi-square test of​ independence, or some other statistical test. Complete parts​ a) through​ c) below.
​a) Is the quality of a car affected by what day it was​ built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week. Choose the correct answer below.
 
A.
​Chi-square test of independence. You have data on two​ variables, day and​ quality, for one manufacturer.
 
B.
​Chi-square goodness-of-fit test. You want to see if the distribution of defects is uniform over the variable day.
 
C.
​Chi-square test of homogeneity. You have two samples and one​ variable, day. You want to see if the distribution of quality is the same in the two years.
 
D.
Some other statistical test. The variable day is​ quantitative, not counts.
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