(2) A disease happens in 1% of the population. There is a test that give us a po
ID: 3073497 • Letter: #
Question
(2) A disease happens in 1% of the population. There is a test that give us a positive if a person has the disease with 80% accuracy. The test is also not perfect in terms of detecting a disease that is not there: 9.6% of the tests detect a disease when a person is not sick. (a) Make a table that shows in the rows, the possible resuts of the test (positive, negative) and in the columns the possibilities for a health status of a person (sick, not sick). Indicate in the respective cell the probability of that event. For example, mark in the appropriate cell the probability of getting a positive if you are sick. What is the probability of being being sick if your test was positive? (c) What is the probability of being not being sick if your test was positive?Explanation / Answer
a)
from above data:
b)P(sick| tested positive) =0.008/0.10304 = 0.07764
c)P(not sick|tested positive) =0.09504/0.10304 =0.92236
d)from abvoe it is evident that a test has to be done multiple number of times to make it highly probablr that person has disease due to lower sensitivity(89%) of test.
Test Result True Disease State Diseased (+) Healthy(-) Total Diseased (+) 0.008 0.002 0.01 Healthy (-) 0.09504 0.89496 0.99 Total 0.10304 0.89696 1Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.