Chi-Square Test of Association/Independence — Quiz
Question 10 • Statistics
Is there an association between whether adults eat breakfast and whether they own a pet? To investigate, researchers select a random sample of 75 adults and asked them if they ate breakfast and if they owned a pet. The researchers 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 whether adults eat breakfast and whether they own a pet. cap h sub A : There is no difference in the distribution of whether adults eat breakfast and whether they own a pet.
B
cap h sub 0 : There is no association between whether adults eat breakfast and whether they own a pet. cap h sub A : There is an association between whether adults eat breakfast and whether they own a pet.
C
cap h sub 0 : There is an association between whether adults eat breakfast and whether they own a pet. cap h sub A : There is no association between whether adults eat breakfast and whether they own a pet.
D
cap h sub 0 : There is no difference in the distribution of whether adults eat breakfast and whether they own a pet. cap h sub A : There is a difference in the distribution of whether adults eat breakfast and whether they own a pet.
Explanation
For a test of association between two categorical variables, the null hypothesis states that the variables are not associated, and the alternative states that they are associated. Here the variables are whether an adult eats breakfast and whether the adult owns a pet. Therefore, choice B gives the correct hypotheses; the significance level of 0.05 does not change how they are stated.
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