A student believes that a certain number cube is unfair and is more likely to land with a six facing up. The student rolls the number cube 15 times, and finds that the cube lands with a six facing up five times. The student wants to construct a 99% confidence interval for the proportion of times this number cube lands with a six facing up. Are the conditions for inference met?

For a confidence interval for a proportion, the Large Counts Condition requires at least 10 observed successes and 10 observed failures. The student observed 5 sixes and 15 − 5 = 10 rolls that were not sixes, so there are too few successes. Therefore, the Large Counts Condition is not met, and the correct choice is D, “No, the Large Counts Condition is not met.”

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