please show steps on how to do problem A group of 10,000 people who were asympto

Question

please show steps on how to do problem

A group of 10,000 people who were asymptomatic for diabetes were screened for diabetes by a test measuring blood serum sugar content. A value of 180 mg/dl or higher was considered positive. The results were compared with those of a second and definitive test (gold standard) which correctly detected all cases and non-cases. The results were as follows Definitive Test Negative Totals Positive Positive 34 20 54 Screening Test 9946 Negative 116 9830 Totals 150 9850 10000 What is the prevalence of undetected diabetes? (i.e., before screening). O 3.4 % 0.5 % 0 1.0% 0 1.5 %

Explanation / Answer

Prevalence of undetected diabetes = Number of definitive diabetes cases / Total no. of cases = 150/10000=1.5%

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