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Chapter 12: Q. 6 (page 520)
Regarding the expected-frequency assumptions for a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test,
a. state them.
b. how important are they?
To identify a histogram from a ber chert, the bars in a histogram must be aligned with one another.
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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?
Freshmen Politics. The Higher Education Research Institute of the University of California, Los Angeles, publishes information on the characteristics of incoming college freshmen in The American Freshman. Incoming freshmen characterized their political views as liberal, as moderate, and as conservative, For this year, a random sample of 500 incoming college freshmen yielded the following frequency distribution for political views. Freshmen Politics. The Higher Education Research Institute of the University of California, Los Angeles, publishes information on the characteristics of incoming college freshmen in The American Freshman. Incoming freshmen characterized their political views as liberal, as moderate, and as conservative, For this year, a random sample of 500 incoming college freshmen yielded the following frequency distribution for political views.
Political view | Frequency |
Liberal | 147 |
Moderate | 237 |
Conservative | 116 |
a. Identify the population and variable under consideration here.
b. At the 55 significance level, do the data provide sufficient evidence to conclude that this year's distribution of political views for incoming college freshmen has changed from the 2000 distribution?
c. Repeat part (b), using a significance level of.
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?
In each of exercises 12.57-12.59, use the technology of your choice to solve the specified problems.
The Scottish Executive, Analytical Services Division Transport Statistics, compiles information on motorcycle accidents in Scotland. During one year, data on the number of motorcycle accidents, by day of the week and type of road (built-up or non built-up), are as presented on the WeissStats CD.
a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of day of the week within each type-of-road category and the marginal distribution of day of the week.
c. Determine the conditional distribution of type of road within each day of the week and the marginal distribution of type of road.
d. Does an association exist between the variables "day of the week" and "type of road" for these motorcycle accidents? Explain your answer.
Find the type of table that is used to group bivariate data.
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