Intermediate, statistics, Basic Statistics

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The screening test for the hep-c virus works by detecting the presence of antibodies to the virus. However, some non-HCV proteins can trigger a false positive, at a probability of 2%. The incidence of HCV for women of age 20-29 in Nova Scotia is about 20 per 100,000. Of these women of age 20-29, 25% are unaware of their infection. if Nova Scotia women of age 20-29, with no known HCV infection, no HCV symptoms, or risk factors associated with HCV, are screened for HCV antibodies, what fraction or positive tests would be true positives and what fraction would be false positives?

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