Math Solutions

(Step-by-Step) In the Box population experiment this year, the nominal 90% confidence interval using the simple random sample was independently constructed

Question: In the Box population experiment this year, the nominal 90% confidence interval using the simple random sample was independently constructed 27 times. Of these intervals, 24 included the true population mean. Let  be the true probability that this interval, based on a SRS and properly constructed, includes the true mean .

  1. Ignoring any concerns you may have with the Normal approximation, compute and interpret the approximate (Wald) 95% confidence interval for .
  2. Repeat problem (a) using the Agresti-Coull interval.
  3. Obtain an exact 95% confidence interval for , using Minitab’s one-sample proportion item under Stat Basic Stat.

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