The city planner would like to know if there is a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs. What are the appropriate hypotheses?
Answer
A
cap h sub 0 : There is a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs. cap h sub A : There is no difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.
B
cap h sub 0 : There is no difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs. cap h sub A : There is a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs.
C
cap h sub 0 : Location of residence and commute distance are not independent. cap h sub A : Location of residence and commute distance are independent.
D
cap h sub 0 : Location of residence and commute distance are independent. cap h sub A : Location of residence and commute distance are not independent.
Explanation
The null hypothesis states that the population distributions are the same; here, commute-distance distributions do not differ among city, rural, and suburban residents. The alternative is that at least one of those distributions differs. Therefore, choice B gives the appropriate hypotheses. Choices C and D describe independence, but the question asks directly about comparing distributions across the three populations.
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