[Solution] The Agency for Helathcare Research and Quality reports that medical errors are responsible for injury in 1 out of every 25 hospital patients


Question: The Agency for Helathcare Research and Quality reports that medical errors are responsible for injury in 1 out of every 25 hospital patients in the U.S. Preventable health care-related cost the U.S. economy an estimated $29 billion each year. Suppose that you select a sample of 100 U.S. hospital patients.

  1. What is the probability that the sample percentage will be between 5% and 10%?
  2. The probability is 90% that the sample percentage will be within what symmetrical limits of the population percentage?
  3. The probability is 95% that the sample percentage will be within what symmetrical limits of the population percentage?
  4. Suppose you selected a sample of 400 U.S. hospital patients. How does this change your answers (A) through (C)?

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