Please help I am just so confused. Tests for medical conditions are not usually 100% accurate. A certain form of cancer affects one in 10,000 people. The test for it gives a true positive result in 98% of cases and a true negative result in 99% of cases.

a) Show that the risk of having this form of cancer if you tested positive is approximately one in 100.

b) Show that if you test negative for this condition, it is almost certain that you do not have it.

Question

Please help I am just so confused. Tests for medical conditions are not usually 100% accurate. A certain form of cancer affects one in 10,000 people. The test for it gives a true positive result in 98% of cases and a true negative result in 99% of cases. 

a) Show that the risk of having this form of cancer if you tested positive is approximately one in 100.

 b) Show that if you test negative for this condition, it is almost certain that you do not have it.

fibonaccichick666 · Answer

Before I can know if I can help here, are the percentages really 98% and 99%?

marigirl · Answer

Yes this is all the information that was provided