A new test has been devised for detecting a particular disease. If the test is a

Question

A new test has been devised for detecting a particular disease. If the test is applied to a person who has this disease, the probability that the person will have a positive reaction is 0.9. If the test is applied to a person who does not have this discase, the probability that the person will have a positive reaction is 0.06. Suppose that in the general population, one person out of every 1000 has this type of cancer a) What is the false negative rate? Answer to 2 places past the decimal. Subrnit Answer Tries 0/2 b) What is the false positive rate? Answer to 2 places past the decimal. Submit Anewer Tries 0/2 c) What is the probability that a randomly chosen person has the discase and tests positive? Answer to 5 places past the decimal. Answer Tries o/2 d) What is the probability that a randomly chosen person will test positive? Answer to 3 places past the decimal. Subrnit Answer Tries 0/2

Explanation / Answer

a) false negative rate =1-sensitivity=1-0.9=0.1

b) false positive =0.06

c)probability =(1/1000)*0.9=0.0009

d)probability =P( has disease and test positive+does not have disease and test posiive)

=(1/1000)*0.9+(1-1/1000)*0.06=0.061

e)P( have disaease|test postiive) =(1/1000)*0.9/0.061 =0.015

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