1% of atypical moles are cancerous. - test A has a sensitive of 38.8% and a spec

Question

1% of atypical moles are cancerous.

- test A has a sensitive of 38.8% and a specificity of 99.9%
(sensitivity = is a test's ability to correctly identify samples with specified conditions)

(specificity is a test's ability to correctly identify samples that DO NOT have the specified conditions)

Make charts for each test showing how many patients, out of 1000, you would expect to have a true positive, a false positive, a true negative, and a false negative. 1. Test A Positive Test Result Negative Test Result Total Mole is cancerous Mole is benign 1000 Total

Explanation / Answer

Positive test result neg test result

cancerous A B

bening C D

A/(A+C) = SENSITIVITY = 38.8

B/B+D = SPECIFITIVITY = 99.9

A/A+B = 0.01

D/D+C = 0.99

A-0.01A-0.01B = 0

0.99A-0.11B=0 A=11/99 B = 0.11B

0.612A-0.388C=0

0.01D-0.99C=0

0.01B-0.99D=0 D=1/99B =0.01B

0.06732B - 0.3888 C = 0

0.0001B-0.99C=0

0.66648C-0.3888C=0

0.2777C=0 C=0

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