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A researcher constructed a 95% confidence interval from her study. It was (0.14, 0.45). Below you...

  1. A researcher constructed a 95% confidence interval from her study. It was (0.14, 0.45). Below you can find three wrong ways of interpreting the confidence interval. Discuss why each of these interpretations are wrong.
  1. The probability of the population mean being in (0.14, 0.45) is 0.95.
  2. If we repeat drawing samples from the same population 1000 times and construct a confidence interval each time, we expect that the population mean will be in (0.14, 0.45) in 950 times.
  3. If we repeat drawing samples from the same population 1000 times and construct a confidence interval each time, we expect that the sample mean will be in (0.14, 0.45) in 950 times.
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