Preparing to Conduct a Chi-Square Test for Goodness of Fit — Quiz
Question 2 • Statistics
A prize wheel at a carnival consists of five equal sectors of these colors: red, blue, green, yellow, and orange. If the wheel lands on yellow, the player wins a prize. After observing several spins, a customer suspects that the wheel is not fair. To substantiate this belief, the customer observes 100 consecutive spins of the prize wheel. Are the conditions for inference met?
Answer
A
No, the random condition is not met.
B
Yes, all of the conditions for inference are met.
C
No, the 10 percent condition is not met.
D
No, the Large Counts condition is not met.
Explanation
For a one-proportion inference test, the spins should be produced or selected randomly. The customer observes 100 consecutive spins, so the random condition is not established. The expected counts under a fair wheel are 100(1/5) = 20 yellow and 80 not yellow, so the Large Counts condition is met; the issue is the random condition.
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