AnswersAQR_A_ICPreparing to Test a Claim about a Population ProportionQuestion 10
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Preparing to Test a Claim about a Population Proportion

Question 10 • AQR_A_IC

A teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. To determine if she was successful, she rolls the number cube 50 times and keeps track of the number of times she rolls a 1. She rolls a 1 15 times. She would like to know if the data provide convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth. Are the conditions for inference met?

Answer
A
Yes, the conditions for inference are met.
B
No, the 10% condition is not met.
C
No, the Large Counts Condition is not met.
D
No, the randomness condition is not met.

Explanation

For a one-proportion inference test, check the Large Counts Condition using the hypothesized proportion, p = 1/6. With 50 rolls, the expected number of 1s is 50(1/6) ≈ 8.3, which is less than 10, so the condition is not met. The expected number of non-1s is about 41.7, but both counts must be at least 10. Therefore, the correct choice is “No, the Large Counts Condition is not met.”

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