The director of admissions at a state college is interested in seeing if admissions status (admitted, waiting list, denied admission)at his college is related to the type of community (urban, rural, suburban)in which an applicant resides.Which of the following tests will be the most appropriate?
A) test for independence.
B)Two-way ANOVA F test for the type of community effect.
C)Two-way ANOVA F test for interaction effect.
D)Kruskal-Wallis rank Test.

Question

The director of admissions at a state college is interested in seeing if admissions status (admitted, waiting list, denied admission)at his college is related to the type of community (urban, rural, suburban)in which an applicant resides.Which of the following tests will be the most appropriate?
A) test for independence. 
B)Two-way ANOVA F test for the type of community effect. 
C)Two-way ANOVA F test for interaction effect. 
D)Kruskal-Wallis rank Test.

Quizplus · Accepted Answer

The most appropriate test in this situation is the 11ebc114_12de_7f09_8acb_89bebba4819c_TB8562_11 test for independence. This test allows us to determine if there is a relationship between two categorical variables, in this case, admissions status and type of community. This test is appropriate because both variables are categorical and we want to determine if they are independent of each other or not. ANOVA tests are used for continuous variables, and the Kruskal-Wallis rank test is used for non-parametric data, so these tests would not be appropriate in this case. The appropriate test in this scenario is the test for independence, also known as the chi-square test. This test is used to determine if there is a relationship between two categorical variables, in this case, admissions status and type of community. The other options (Two-way ANOVA F tests and Kruskal-Wallis rank test) are used to compare means between groups and are not appropriate for this scenario.

The Director of Admissions at a State College Is Interested