A publishing company performs sample surveys to obtain information on characteristics of book readers.A book reader is defined to be one who read one or more books in the six months prior to the survey;a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey;a nonreader is defined to be one who did not read a book,newspaper,or magazine in the six months prior to the survey.The following data were obtained from a random sample of 1429 persons 16 years old and over in an effort to determine whether or not the proportions of book readers,non-book readers,and non-readers are the same for each income bracket.
A)Goodness-of-fit
B)Independence
C)Homogeneity

Question

A publishing company performs sample surveys to obtain information on characteristics of book readers.A book reader is defined to be one who read one or more books in the six months prior to the survey;a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey;a nonreader is defined to be one who did not read a book,newspaper,or magazine in the six months prior to the survey.The following data were obtained from a random sample of 1429 persons 16 years old and over in an effort to determine whether or not the proportions of book readers,non-book readers,and non-readers are the same for each income bracket. 
A)Goodness-of-fit 
B)Independence 
C)Homogeneity

Quizplus · Accepted Answer

The research question asks whether the proportions of book readers, non-book readers, and non-readers are the same for each income bracket. This involves comparing the distribution of one categorical variable (reading habits) across multiple categories of another categorical variable (income bracket). Therefore, the appropriate test to use is a chi-square test of homogeneity. Goodness-of-fit tests are used to compare a sample distribution to a hypothesized population distribution, which is not relevant in this case. Independence tests are used to determine whether two categorical variables are associated, which is also not the research question being asked.

A Publishing Company Performs Sample Surveys to Obtain Information on Characteristics