
Terminology Match each of the following tests to the appropriate description: test of independence: test of homogeneity: test of goodness of fit.
test to determine if different populations have the same proportion of specified characteristics
test to determine if two variables are statistically independent
test to determine if a population has a specified distribution

The match of each of the following tests to appropriate description: test of independence; test of homogeneity; test of goodness of fit. The tests are:
(i) Test to determine if different populations have the same proportion of specified characteristics.
(ii) Test to determine if two variables are statistically independent.
(iii) Test to determine if a population has a specified distribution.
Answer to Problem 1CR
Solution:
(i) The test of homogeneity can be used to determine if different populations share the same proportions of specified characteristics.
(ii) The test of independence can be used to determine if the two variables are statistically independent.
(iii) Test of goodness of fit used to determine if a population has a specified distribution.
Explanation of Solution
A chi square test of homogeneity tests the claim that different population shares the same proportions of specified characteristics.
The chi square test of independence is used to test for the independence of two variables. Hence the test of independence can be used to determine if the two variables are statistically independent.
Test of goodness of fit used to determine if a population has a specified distribution.
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