Chapter 12: Q. 12.98 (page 518)
If a variable of two populations has only two possible values, the chi-square homogeneity test is equivalent to a two-tailed test that we discussed in an earlier chapter. What test is that?
The test is two proportionsz-test
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12.81 Learning at Home. M. Stuart et al. studied various aspects of grade-school children
and their mothers and reported their findings in the article "Learning to Read at Home
and at School" (British Journal of Educational Psychology, 68(1), pp. 3-14).
The researchers gave a questionnaire to parents of 66 children in kindergarten
through second grade. Two social-class groups, middle and working, were identified based on the mother's occupation.
a. One of the questions dealt with the children's knowledge of nurs-
A chi-square independence test is to be conducted to decide whether an association exists between two variables of a population. One variable has six possible values, and the other variable has four. What is the degrees of freedom for the statistic?
Presidential Election. According to Dave Leip's Atlas of U.S. Presidential Elections, in the 2012 presidential election, of those voting voted for the Democratic candidate (Barack H. Obama), whereas of those voting who lived in Illinois did so. For that presidential election, does an association exist between the variables "party of presidential candidate voted for" and "state of residence" for those who voted? Explain your answer.
In given exercise use either the critical-value approach or the P-value approach to perform a chi square independence lest. provided the conditions for using the test are met.
Siskel In the classic TV show Sneak Previews, originally hosted by the late Gene Siskel and Roger Ebert, the two Chicago movie critics reviewed the weeks new movie releases and
then rated them thumbs up (positive), mixed, thumbs down (negative). These two critics often saw the merits of a movie differently. In general, however, were ratings given by Siskel and Ebert
associated? The answer to this question was the focus of the paper "Evaluating Agreement and Disagreement Among Movie Reviewers" by A. Agresti and L. Winner that appeared in Chance
(Vol- 10(2), pp-10-14). The following contingency table summarizes ratings by Siskel and Ebert for 160 movies.
At the 1% significance level, do the data provide sufficient evidence to conclude that an association exists between ratings of Siskel and Ebert?
For what purpose is a chi-square homogeneity test used?
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