A school administrator believes that 80 percent of the students at his large school arrive by bus, 10 percent drive themselves, and 10 percent are dropped off by an adult. To investigate this belief, the administrator stands at the school entrance and asks the first 80 students who come through the door how they came to school. He would like to know if the data provide convincing evidence that the distribution of transportation method differs from what he believes it to be. Are the conditions for inference met?
Answer
A
No, the 10 percent condition is not met.
B
Yes, all of the conditions for inference are met.
C
No, the random condition is not met.
D
No, the Large Counts condition is not met.
Explanation
A chi-square goodness-of-fit test requires a random sample or another reasonable randomization process. Asking the first 80 students to arrive is a convenience sample, so the random condition is not met. The expected counts are 64 bus riders and 8 students in each of the other two groups, all at least 5, so the Large Counts condition is met.
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