Genetic testing

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Considera particular genetic disease affects 3% of adults in the U.S.population. Fortunately, there is a genetic test for the gene thatcauses the disease. The test is 98% accurate that is, 98% of thepeople who take the test get the correct result (and 2% of peopletested get the wrong result).&nbspInSpringfield, there are 100,000 adults, and they all get tested forthe disease.&nbspHowmany of the residents of Springfield are likely to have thedisease?Howmany of the people who actually have the disease get a positive testresult?Howmany of the people who do not have the disease get a positive testresult?Ofthe people who get a positive test result, how many of them have thedisease? Convert this to a percentage: What percent of people who geta positive result actually have the disease?Whatdoes this percentage tell you about the test?

  1. 100,000*0.03=3000 residents of Springfield have the disease.

  2. 3000*0.98=2940 people who actually have the disease get a positive test result.

  3. 100,000-3000=97,000 people who do not have the disease. 97,000*0.02=1940 people who do not have the disease get a positive test result.

  4. 2940+1940=4880 people who get positive test result(with and without disease). 2940/4880*100= 60.24% of people who get a positive result actually have the disease

Thispercentage tells us that the accuracy of the test must be better. 2%of wrong results in cases with big amount of tested people showthatthere are a lot of mistakes.

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