In: Statistics and Probability
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain biomarker present in blood. High levels of the biomarker are often found in individuals with the disease, but a number of non-disease conditions can also cause high levels of the biomarker. Individuals without the disease have biomarker levels that are normally distributed with mean 1.6 ng/mL (nanograms per milliliter of blood), and standard deviation 0.50 ng/mL. Individuals with the disease have biomarker levels that are normally distributed with mean 5 ng/mL and standard deviation 1.2 ng/mL. Values of 2.5 ng/mL and higher constitute a positive test result. i. Compute the accuracy of the test for those who have the disease and the accuracy of the test for those who do not have the disease.
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