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Confidence Level Interpretation

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A statistician constructs 500 distinct 90% confidence intervals for a population mean, μ. Each interval is based on a different random sample of the same size from a normally distributed population. Which of the following statements is the most accurate?

A

About 50 intervals will fail to capture μ, regardless of sample size

B

The percentage capturing μ increases with larger sample sizes

C

Exactly 450 intervals will contain μ

D

All intervals have a 90% chance of containing μ

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