SOLUTION: The faculty and staff at Dana-Farber Cancer Institute in Boston are required to undergo a tuberculosis test each year. Use the following table to answer the questions below. Tes

Question 1134483: The faculty and staff at Dana-Farber Cancer Institute in Boston are required to undergo a tuberculosis test each year. Use the following table to answer the questions below.
Test Results Tuberculosis No Tuberculosis Total
Positive 4995 99,950 104,945
Negative 5 9,895,050 9,895,055
Total 5,000 9,995,000 10,000,000

a. If a Dana-Farber faculty or staff worker goes in to have a TB test, what is the chance of him/her getting a positive test result? (7.5 pts)
b. What is the positive predictive value of the test? (7.5 pts)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Test Results Tuberculosis No Tuberculosis Total
Positive 4995 99,950 104,945
Negative 5 9,895,050 9,895,055
Total 5,000 9,995,000 10,000,000
Positive result is 104945/10000000=0.0105
PPV is probability when test is positive disease is present. That is 4995/104945 or 0.0476 or 4.76%

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