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

question 15

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.

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