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Diagnostic tests of medical conditions can be positive or negative whether or not a patient has the condition. A false negative occurs when the test

Diagnostic tests of medical conditions can be positive or negative whether or not a patient has the condition. A false negative occurs when the test result is negative given that the patient does in fact have the condition. A positive test can indicate that the patient has the condition or is a false positive when the patient does not actually have the condition. Consider a sample of 200 randomly selected patients, some of whom have a medical condition. Results for a new diagnostic test for the condition are shown.

Conditions present Condition absent Total

Positive test results 100 20 120

Negative test results 10 70 80

Total 110 90 200

What is the probability of a false positive or false negative result? Include any calculations or diagrams used.

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