Chi-Square Test of Association/Independence — Quiz
Question 6 • Statistics
Is there an association between daily screen time and exercise habits in high school students? Mia selects a random sample of 123 high school students and categorizes them into 1 of 3 categories of screen time and whether they exercise. 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 no difference in the distribution of daily screen time and exercise habits in high school students. cap h sub A : There is a difference in the distribution of daily screen time and exercise habits in high school students.
B
cap h sub 0 : There is no association between daily screen time and exercise habits in high school students. cap h sub A : There is an association between daily screen time and exercise habits in high school students.
C
cap h sub 0 : There is a difference in the distribution of daily screen time and exercise habits in high school students. cap h sub A : There is no difference in the distribution of daily screen time and exercise habits in high school students.
D
cap h sub 0 : There is an association between daily screen time and exercise habits in high school students. cap h sub A : There is no association between daily screen time and exercise habits in high school students.
Explanation
This is a test of association between two categorical variables: screen-time category and whether a student exercises. The null hypothesis states that the variables are not associated; the alternative states that they are associated. Therefore, choice B gives the correct hypotheses. The significance level of 0.05 does not change how the hypotheses are written.
AI-written and checked against the verified answer.