Chapter 12: Q. 12.94 (page 518)
For what purpose is a chi-square homogeneity test used?
Short Answer
To compare the distributions of a variable of two or more populations.
Chapter 12: Q. 12.94 (page 518)
For what purpose is a chi-square homogeneity test used?
To compare the distributions of a variable of two or more populations.
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Get started for freeIn 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?
In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m⋅n.
12.70 five and three
School Enrollment. The Current Population Survey from the
U.S. Census Bureau provides data on school enrollment. The following contingency table shows school enrollment below postsecondary, in thousands, by level and gender.
Male | Female | Total | |
Nursery | 2,331 | 2,377 | 4,708 |
Kindergarten | 1,997 | ||
Elementary | 16,504 | 15,734 | |
High School | 8,383 | 16,446 | |
Total | 29,363 |
How many prisoners a. are in state facilities?
a. have at least a college education?
b. are in federal facilities and have at most an 8th-grade education?
c. are in federal facilities or have at most an 8th-grade education?
d. in local facilities have a postsecondary educational attainment?
e. who have a postsecondary educational attainment are in local facilities?
f. are not in federal facilities?
What is meant by saying that a variable has a chi-square distribution?
For a -curve with degrees of freedom determine the -value that has area.
a. to its right
b. to its right.
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