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Chapter 12: Q. 12.40 (page 499)

Presidential Election. According to Dave Leip's Atlas of U.S. Presidential Elections, in the 2012 presidential election, 51.01%of those voting voted for the Democratic candidate (Barack H. Obama), whereas 57.50%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.

Short Answer

Expert verified

Yes, an association exist between the variables "party of presidential candidate voted for" and "state of residence" for those who voted.

Step by step solution

01

Step 1. Given information

In the 2012 presidential election :-

51.01%of those voting voted for the Democratic candidate

57.50%of those voting who lived in Illinois did it

02

Step 2. Answer for existence of association

As the percentage of those voting who voted for the Democratic candidate and the percentage of of those voting who lived in Illinois are not similar.

An association exist between the variables "party of presidential candidate voted for" and "state of residence" for those who voted.

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Most popular questions from this chapter

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.

Diabetes in Native Americans. Preventable chronic diseases are increasing rapidly in Native American populations, particularly diabetes. F. Gilliland et al. examined the diabetes issue in the paper "Preventative Health Care among Rural American Indians in New Mexico" (Preventative Medicine, Vol. 28, pp. 194-202). Following is a contingency table showing cross-classification of educational attainment and diabetic state for a sample of 1273 Native Americans (HS is high school).

At the 1% significance level, do the data provide sufficient evidence to conclude that an association exists between education level and diabetic state for native Americans?

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.

Education of Prisoners. In the article "Education and Correctional Populations" (Bureau of Justice Statistics Special Report, NCJ 195670), C. Harlow examined the educational attainment of prisoners by type of prison facility. The following contingency table was adapted from Table 1 of the article. Frequencies are in thousands, rounded to the nearest hundred.


StateFederalLocalTotal
8th grade or less149.910.666.0226.5
some high school269.112.9168.2450.2
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How many prisoners

a. are in state facilities?

b. have at least a college education?

c. are in federal facilities and have at most an 8th-grade education?

d. are in federal facilities or have at most an 8th-grade education? e. in local facilities have a postsecondary educational attainment

f. who have a postsecondary educational attainment are in local facilities?

g. are not in federal facilities?

The Quinnipiac University Pol conducts nationwide surveys as a public service and for research. This problem is baed on the results of one such poll that asked independent random samples of American adults in urban, suburban, and rural regions, "Do you support or oppose requiring background checks for all gun buyers?" Here are the results.

At the 1%significance level, do the data provide sufficient evidence to conclude that a difference exists in the proportions of supporters among the three regions?

For a χ2-curve with df=10, determine

a. χ0.052

b.χ0.025
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