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A physician is currently interested in a new test to identify the presence of sk

ID: 3273251 • Letter: A

Question

A physician is currently interested in a new test to identify the presence of skin cancer. Below is a table representing his results after testing on 1000 patients.

Disease Status Test Result

Total

+ -

Skin Cancer 351 116 467

No Skin Cancer 92 441 533

Total 443 557 1000

What is the sensitivity of the test?

What is the specificity of the test?

What is the prevalence of skin cancer?

What is the probability of a false positive?

What is the positive predictive value (PPV) of the test?

What is the probability that a randomly chosen person has skin cancer and has a positive test result?

Explanation / Answer

  sensitivity of the test=351/467 =0.7516

specificity of the test =441/533=0.8274

prevalence of skin cancer =467/1000=0.467

probability of a false positive =1-specificity =1-0.8274=0.1726

positive predictive value (PPV) of the test =351/443=0.7923

probability that a randomly chosen person has skin cancer and has a positive test result =351/1000=0.351

test result disease status positive negative total positive 351 116 467 negative 92 441 533 total 443 557 1000
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