Question

Medical records show a sample population of 1000 people, of those 1000 people, 98% do not have a terminal illness and 2% do have a terminal illness. A Health Insurance company would like try out a new cheaper test for terminal illness. Their results show that 98% of the people that do have a terminal illness test positive, while 1% of the people who do not have a terminal illness test positive for one. A corporation known as Ken’s Kids is concerned about patients that are slipping through the cracks with this new medical testing. If the new medical testing is adopted, what % of the people will be misdiagnosed as not having a terminal illness, but really have one? Assuming a population of 200 million people, how many people that have a terminal illness, given this new testing will never know that they do? (Please show all work for full credit, and have a legend for symbols).

Answer 1

   Answer(1) :0.02%

   Answer;(2):20000

  This is a problem of percentages. Watever percentage holds for 1000 will also hold for 200 millon and Vice Versa. Hope you understand the solution.