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For people with hepatitis B the test has a 90% chance of detecting it (positive). For people who do not have Hepatitis B, the test

For people with hepatitis B the test has a 90% chance of detecting it (positive). For people who do not have Hepatitis B, the test correctly produces a negative result 72% of the time. Assuming that 5% of a population is infected with hepatitis B what is the probability that someone who gets a positive test result is actually infected with hepatitis B?

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