A diagnostic test either provides a + result (has the disease) or - result (does not...

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A diagnostic test either provides a + result (has the disease)or - result (does not have the disease). 5% of the population hasthe disease. For a patient with the disease, 75% will test (+)/ 25%will test (-). For a patient that does not have the disease, 15 %will test (+)/ 85% will test (-).

Part A) If everyone in the population is tested, what proportionof the test results will be positive?

Part B) For a patient who gets a Positive result, what is theprobability of having the disease?

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