8.3 TESTING APROPORTION   P-VALUES
Testing a Proportion• To test a proportion, we will use a similar process to  those for testing the mean (8.1 & 8.2)  • Th...
Testing a Proportion•
Note: p is aprobability,therefore k mustbe between 0and 1
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A team of eye surgeons has developed a newtechnique for a risky eye operation to restore thesight of people blinded from a...
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8.3

  1. 1. 8.3 TESTING APROPORTION P-VALUES
  2. 2. Testing a Proportion• To test a proportion, we will use a similar process to those for testing the mean (8.1 & 8.2) • The main difference is that we are working with a distribution of proportions
  3. 3. Testing a Proportion•
  4. 4. Note: p is aprobability,therefore k mustbe between 0and 1
  5. 5.
  6. 6. A team of eye surgeons has developed a newtechnique for a risky eye operation to restore thesight of people blinded from a certain disease. Underthe old method, it is known that only 30% of thepatients who undergo this operation recover theireyesight. Suppose that surgeons in various hospitalshave performed a total of 225 operations using thenew method and that 88 have been successful (i.e.,the patients fully recovered their sight). Can we justifythe claim that the new method is better than the oldone? (Use a 1% level of significance.)
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