Chi-Square Test of Association/Independence — Quiz
Question 4 • Statistics
Is there an association between dominant hand and pet preference (dog, cat, other, none) in college students? A local professor selects a random sample of 114 students from his college and categorizes them appropriately. He would like to determine if there is convincing evidence of an association. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?
Answer
A
cap h sub 0 : There is an association between dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is no association between dominant hand and pet preference (dog, cat, other, none) in college students.
B
cap h sub 0 : There is no association between dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is an association between dominant hand and pet preference (dog, cat, other, none) in college students.
C
cap h sub 0 : There is a difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is no difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students.
D
cap h sub 0 : There is no difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is a difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students.
Explanation
For a test of association between two categorical variables, the null hypothesis states that the variables are not associated in the population. The alternative states that they are associated. Therefore, the correct hypotheses are “there is no association” versus “there is an association” between dominant hand and pet preference, as stated in choice B.
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