An experimental screening test for hepatitis B has a sensitivity of 82% and a specificity of 93%. The prevalence of hepatitis B in the population to be screened is estimated to be 3%. (a) What is the...

An experimental screening test for hepatitis B has a sensitivity of 82% and a specificity of 93%. The prevalence of hepatitis B in the population to be screened is estimated to be 3%.

(a) What is the probability that an individual with a positive test result does not have hepatitis B?

(b) Using this test, what proportion of a population free of hepatitis B would falsely test positive?