A laboratory blood test is 98% effective in detecting a certain disease if the person has the

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A laboratory blood test is 98% effective in detecting a certain disease if the person has the disease (sensitivity). However, the test also yields a “false positive” result for 0.5% of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.005, the test result will show positive.) Assume that 2% of the population actually has this disease (prevalence). What is the probability a person has the disease given that the test result is positive?
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Mathematical Statistics With Applications In R

ISBN: 9780124171138

2nd Edition

Authors: Chris P. Tsokos, K.M. Ramachandran

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