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Chapter 12: Q. 12.13 (page 491)
In each case, decide whether Assumptions and for using chi-square goodness-of-fit test are satisfied.
Sample size:.
Relative frequencies:.
Both Assumptionandare satisfied.
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The U.S. Census Bureau publishes census data on the resident population of the United States in Current Population Reports. According to that document, 7.3% of male residents are in the age group20−24 years.
a. If there is no association exists between age group and gender, what percentage of the resident population would be in the age group20−24 years? Explain your answer.
b. If there is no association exists between age group and gender, what percentage of female residents would be in the age group20−24 years? Explain your answer.
c. There are about 158million female residents of the United States. If no association exists between age group and gender, how many female residents would there be in the age group20−24 years?
d. In fact, there are some 10.2 million female residents in the age group20−24 years. Given this number and your answer to part (c), what do you conclude?
Although the chi-square homogeneity test and the chi-square independence test use essentially the same basic procedure, the context of the two tests are quite different. Explain the difference.
In each of exeercises 12.57-12.59, use the technology of your choice to solve the specified problems.
The U.S. Congress, Joint Committee on Printing. provides information on the composition of Congress in Congressional Directory. On the WeissStats CD, we present data on party and class for the senators in the 113th Congress.
a. Group the bivariate data for these two variables into a contingency table.
a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of party within each class and the marginal distribution of party.
c. Determine the conditional distribution of class within each party and the marginal distribution of class.
d. Are the variables "party" and "class" for U.S. senators in the 111th Congress associated? Explain your answer.
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 significance level, whether an association exists between the specified pair of variables.
type of community and response
Loaded Die? A gambler thinks a die may be loaded, that is, that the six numbers are not equally likely. To test his suspicion, he rolled the die 150 times and obtained the data shown in the following table.
Number | 1 | 2 | 3 | 4 | 5 | 6 |
Frequency | 23 | 26 | 23 | 21 | 31 | 26 |
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