Preparing to Conduct a Chi-Square Test for Goodness of Fit — Quiz
Question 10 • Statistics
Students at a large university have four places to get lunch: the cafeteria, the hut, the taco wagon, or the pizza place. An article in the school newsletter states that 70 percent of students prefer to get lunch in the cafeteria and the other three options are preferred equally. To investigate this claim, a random sample of 150 students is selected. Are the conditions for inference met?
Answer
A
No, the Large Counts condition is not met.
B
No, the 10 percent condition is not met.
C
Yes, all of the conditions for inference are met.
D
No, the random condition is not met.
Explanation
The sample is random, so the random condition is met. The expected counts are 105 students for the cafeteria and 15 for each other place (10% of 150), so every expected count is at least 5 and the Large Counts condition is met. A large university has more than 1,500 students, so 150 is less than 10% of its student population. Therefore, all conditions for inference are met: choice C.
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