5
QuizMultiple Choice

N/A — Exam

Question 5 • Statistics

Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?

Answer
A
cap h sub 0 : There is no difference in the distribution of responses among those who are and are not sick. cap h sub A : There is a difference in the distribution of responses among those who are and are not sick.
B
cap h sub 0 : There is a difference in the distribution of responses among those who are and are not sick. cap h sub A : There is no difference in the distribution of responses among those who are and are not sick.
C
cap h sub 0 : There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick. cap h sub A : There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
D
cap h sub 0 : There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick. cap h sub A : There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.

Explanation

The null hypothesis states that there is no difference in the response distributions for employees who are sick and those who are not sick. The alternative states that the distributions differ. Because the question asks about all employees, the hypotheses should describe the population groups, not just the 20 employees in each sample. Therefore, choice A is correct.

AI-written and checked against the verified answer.

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