Suppose a test for cancer is given. If a person has cancer, the test will detect it

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Suppose a test for cancer is given. If a person has cancer, the test will detect it in \(96 \%\) of the cases; if the person does not have cancer, the test will show a positive result \(1 \%\) of the time. If we assume that \(12 \%\) of the population taking the test actually has cancer, what is the probability (rounded to the nearest percent) that a person taking the test and obtaining a positive result actually has cancer?

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