Chapter 12: Q. 12.97 (page 518)
Fill in the blank: If a variable has only two possible values, the chi-square homogeneity test provides a procedure for comparing several population......................................
Fill in the blank: Proportions
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We have presented a contingency table that gives a cross-classification of a random sample of values for two variables x and y, of a population.
Perform the following tasks
a. Find the expected frequencies Note: You will first need to compute the row totals, column totals, and grand total.
b. Determine the value of the chi-square statistic
c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.
School Enrollment. Refer to Exercise 12:48. For students below postsecondary, solve the following problems.
a. Determine the conditional distribution of level for each gender.
b. Determine the marginal distribution of level.
c. Are the variables "gender"" and "level" associated? Explain your answer
d. Find the percentage of students in nursery school.
e. Find the percentage of females in nursery school.
f. Without doing any further calculations, respond true or false to the following statement and explain your answer: "The conditional distributions of gender within levels are not identical " .
g. Determine and interpret the marginal distribution of gender and the conditional distributions of gender within levels.
Job Satisfaction. A CNN/USA TODAY poll conducted by Gallul asked a sample of employed Americans the following question: "Which do you enjoy more, the hours when you are on your job, or the hours when you are not on your job?" The responses to this question were cross-tabulated against several characteristics, among which were gender, age, type of community, educational attainment, income, and type of employer. The data are provided on the WeissStats site. In each of Exercises 12.87-12.92, use the technology of your choice to decide, at the 5% significance level, whether an association exists between the specified pair of variables.
type of employer and response
Primary Heating Fuel. According to Current Housing Reports, published by the U.S. Census Bureau, the primary heating fuel for all occupied housing units is distributed as follows.
Suppose that you want to determine whether the distribution of primary heating fuel for occupied housing units built after 2010 differs from that of all occupied housing units. To decide, you take a random sample of housing units built after 2010 and obtain a frequency distribution of their primary heating fuel.
a. Identify the population and variable under consideration here.
b. For each of the following sample sizes, determine whether conducting a chi-square goodness-of-fit test is appropriate and explain
your answers: 200; 300; 400.
c. Strictly speaking, what is the smallest sample size for which conducting a chi-square goodness-of-fit test is appropriate?
HPV Vaccine. In the article "Correlates for Completic 3-dose Regimen of HPV Vaccine in Female Members of a Man Care Organization" (Mayo Clinical Proceedings, Vol. 84, Pp. 870 ), C. Chao et al. examined factors that may influence wh young female patients complete a three-injection sequence of the dasil quadrivalent human papillomavirus vaccine (HPV4). HPV virus that has been linked to the development of cervical cancer. following contingency table summarizes the data obtained for ' pletion of treatment versus practice type.
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