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?

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

Basically, this is an operation which is used to measure probability that a parameter will fall between a pair of values around the mean are called as confidence interval.

Given,

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.

Here we need to find the conditions of inference are met or not.

Based on the the 99% confidence interval for the true proportion of times the number cube would land with a six facing up is 0.27 ± 2.58.

Because, 99 % confidence level is closer to 2.58 and 12 times facing up out of 45 times which is 12/45= .27

Therefore, the reason why option D No, the Large Counts Condition is not met.

To know more about Confidence interval here.

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