Question 1084491
Consider a population sample of 100000 subjects. This means that of all these people, 100000x.007, or 700 people will actually have the disease. Of these, 95% will test negative, giving us 665 positive tests. Of the 999,300 who don't have the disease, 3%, or 2979 will test positive. So, the total of people who have the disease and test positive plus the 2979 who test positive, but DO NOT actually have the disease is 665+2979, or 3644. The ratio of people who actually have the disease to the ratio of those who test positive for the disease is 665/3644, or 0.18249176728869374313940724478595, or about 18%. ☺☺☺☺