Suppose a computerized database contains all charts of patients at nine hospitals in Cleveland, Ohio. One concern of the group conducting the study is the possibility that the attending physician underreports or overreports various diagnoses that seem consistent with a patient’s chart. An investigator notes that 50 of the 10,000 people in the database are reported as having a particular viral infection by their attending physician. A computer using an automated method of diagnosis claims that 68 of the 10,000 people have the infection, 48 of them from the attending physician’s 50 positives and 20 from the attending physician’s 9950 negatives. Test the hypothesis that the probability of detecting this viral infection are the same for the computer and the attending physician.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Suppose a computerized database contains all charts of patients at nine hospitals in Cleveland, Ohio. One concern of the group conducting the study is the possibility that the attending physician underreports or overreports various diagnoses that seem consistent with a patient’s chart. An investigator notes that 50 of the 10,000 people in the database are reported as having a particular viral infection by their attending physician. A computer using an automated method of diagnosis claims that 68 of the 10,000 people have the infection, 48 of them from the attending physician’s 50 positives and 20 from the attending physician’s 9950 negatives.

Test the hypothesis that the probability of detecting this viral infection are the same for the computer and the attending physician.

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Follow-up Question

Shouldn't I use McNemar's Test since the data are dependent?

P(physicians pos | computer pos) != P(physicians pos | computer neg)

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