It is known that 20% of all patients in a medical facility are allergic to a...

It is known that 20% of all patients in a medical facility are allergic to a new medication. Doctors conduct a preliminary test to identify patients’ sensitivity to this medication. The test procedure has the following characteristics.

• For a patient with no allergic reaction, there is a 10% chance to be misidentified as allergic (false positive).

• For a patient with allergy, there is a 5% chance of recognizing this patient as having no allergy (false negative).

1. Given that a patient is diagnosed as non-allergic, what is the chance that he/she is allergic?

2. Given that a patient is diagnosed as allergic, what is the chance that he/she is allergic?

Expert Solution

orchestra answered 2 years ago

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