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When a medical diagnostic procedure does not detect the disease that is really present it is...

When a medical diagnostic procedure does not detect the disease that is really present it is called a “false negative”. In testing a new diagnostic procedure, a random sample of 180 patients with the disease, the new procedure yielded 16 “false negatives”.

a. Estimate the true proportion of all cases the diagnostic will yield a false negative, using 95% confidence. (18)

b. Verify that the sample size used in part A is large enough for the procedure to be considered valid. (3)

c. How many cases would need to be sampled to estimate the desired proportion to within a margin of error of 2%, using 95% confidence? (8)

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