PLEASE HELP 30 PTS !! 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?

1. Yes, the conditions for inference are met.
2. No, the 10% condition is not met.
3. No, the randomness condition is not met.
4. No, the Large Counts Condition is not met.