Chi-Square Test of Association/Independence — Quiz
Question 8 • Statistics
Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She 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 a difference in the distribution of age and sleep habits. cap h sub A : There is no difference in the distribution of age and sleep habits.
B
cap h sub 0 : There is no association between age and sleep habits. cap h sub A : There is an association between age and sleep habits.
C
cap h sub 0 : There is no difference in the distribution of age and sleep habits. cap h sub A : There is a difference in the distribution of age and sleep habits.
D
cap h sub 0 : There is an association between age and sleep habits. cap h sub A : There is no association between age and sleep habits.
Explanation
This is a test of association between two categorical variables: age group and sleep-duration category. The null hypothesis states that there is no association between them; the alternative states that an association exists. Therefore, choice B gives the correct hypotheses.
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