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A screening test for bureaucratic pomposity disorder (BPD) has reasonably good s

ID: 3369289 • Letter: A

Question

A screening test for bureaucratic pomposity disorder (BPD) has reasonably good sensitivity and specificity, say 70% for both. (This means that, on average, seven out of every ten people who have BPD test positive and seven out of every ten who don't have BPD test negative.) Consider testing two different populations.

a. Officiousville has a population of 1000. Half the people in Officiousville have BPD. Suppose everyone in Officiousville gets tested. Fill out the table below. Then use it to compute the PPV and NPV for this test.

Test Result

Positive

Negative

Total

Disease

Present

500

Absent

500

Total

1000

Round the answers to two decimal places.

PPV =

NPV =

b. Mellowville also has a population of 1000, but only 10 people in the whole town have BPD. Fill out a table to show how the test would perform if you used it to screen Mellowville. Then compute the PPV and NPV for this test.

Test Result

Positive

Negative

Total

Disease

Present

10

Absent

990

Total

1000

Round the answers to three decimal places.

PPV =

NPV =

Test Result

Positive

Negative

Total

Disease

Present

500

Absent

500

Total

1000

Explanation / Answer

a)

for above:

PPV=true posiitve/total positive =350/500=0.7

NPV = true negative/ttoal negative =350/500=0.7

b)

PPV=7/304= 0.0230

NPV=693/696=0.9957

Test Result Positive Negative Total Disease Present 350 150 500 Absent 150 350 500 Total 500 500 1000
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