Consider Calculating a 95% Confidence Interval for a Population Mean $\mu$

Multiple Choice

Consider calculating a 95% confidence interval for a population mean $\mu$ based on a sample from a population, and then a 95% confidence interval for a population proportion p based on another sample selected independently from the same population. Which of the following statements are true?

A) Prior to obtaining data, the probability that the first interval will include $\mu$
Is ) 95.
B) Prior to obtaining data, the probability that the second interval will include p is .95.
C) The probability that both intervals will include the values of the respective parameters is about .90.
D) All of the above statements are correct.