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10. The Agency for Healthcare Research and Quality reports that medical errors are responsible for injury...

10. The Agency for Healthcare Research and Quality reports that medical errors are responsible for injury in 1 out of every 25 hospital patients in the United States. These errors are tragic and expensive. Preventable health care- related errors cost the U.S. economy an estimated $ 29 billion each year. Suppose that you select a sample of 100 U.S. hospital patients. (Please show all work)

  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 in (a) through (c)?
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