She would like to know if these data provide convincing evidence that the distribution of job status differs among the populations of all 9th, 10th, 11th, and 12th graders at this large high school. What are the appropriate hypotheses?
Answer
A
cap h sub 0 : There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. cap h sub A : There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.
B
cap h sub 0 : Job status and grade level are not independent. cap h sub A : Job status and grade level are independent.
C
cap h sub 0 : Job status and grade level are independent. cap h sub A : Job status and grade level are not independent.
D
cap h sub 0 : There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. cap h sub A : There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.
Explanation
This is a test of whether job-status distributions are the same across the four grade-level populations. The null hypothesis says there is no difference in those distributions; the alternative says that at least one grade’s distribution differs. Choice A states these hypotheses directly.
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