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

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Suppose a test for hypoglycemia is given. If a person has hypoglycemia, the test will detect it in \(90 \%\) of the cases; if the person does not have hypoglycemia, the test will show a positive result \(3 \%\) of the time. If we assume that \(20 \%\) of the population taking the test actually have hypoglycemia, what is the probability (to the nearest percent) that a person taking the test and obtaining a positive result actually has hypoglycemia?

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