Question

5. A screening test for diabetes, where a blood glucose of 180 mg/dl is considered positive, has a known sensitivity of 22.5% and a known specificity of 99.7%. The prevalence of diabetes in Town X is 2% and Town Y is 1.5%

please answer the question 6 using the given information. Thank you

Answer 1

A - have diabetes

probability that someone will test positive = P(A) * sensitivity + P(A') * ( 1 - specificity)

for town Y

P(A) = 0.015

hence required number = 10000 * ( 0.015 * 0.225 + (1- 0.015) (1 - 0.997))

= 63.3

= 64

option B) is correct

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