C) What percentage of CT scans in this target population would be positive?

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C) What percentage of CT scans in this target population would be positive?
Lung cancer is the leading cause of cancer-related deaths in the United States. Rescarchers examined the idea of
testing all Medicare-enrolled heavy smokers for lung cancer with a computed tomography (CT) scan every year. In
this population, the lifetime chance of developing lung cancer is high. In any given year, approximately 3% of heavy
smokers develop lung cancer. The CT scan positively identifies lung cancer 89% of the time, and it gives a negative
result for 93% of individuals who do not have lung cancer.
(a) Use probability notation to express the three values cited. Match the notation with the appropriate values. Not
necessarily all notation choices should be used.
0.03
(c) What percent of CT scans in this target population would be positive? (Enter your answer rounded to two
decimal places.)
0,89
0,93
percent =
09
neorrect
(d) What is the probability that a Medicare-enrolled heavy smoker who gets a positive CT scan actually has lung
cancer, P(cancer | test+)? (Enter your answer rounded to three decimal places.)
Anwer Bank
P(cancer | test+)
P(no cancer | tot-)
Pet- no cancer)
P(cancer | test+) -
P(o+ cancer)
P(canoor | lot-)
297
P(cancer)
89
->,0267
oll.033
9021
LC Tist
し
,0679
Postive
.0 7
NO
し
not
Transcribed Image Text:Lung cancer is the leading cause of cancer-related deaths in the United States. Rescarchers examined the idea of testing all Medicare-enrolled heavy smokers for lung cancer with a computed tomography (CT) scan every year. In this population, the lifetime chance of developing lung cancer is high. In any given year, approximately 3% of heavy smokers develop lung cancer. The CT scan positively identifies lung cancer 89% of the time, and it gives a negative result for 93% of individuals who do not have lung cancer. (a) Use probability notation to express the three values cited. Match the notation with the appropriate values. Not necessarily all notation choices should be used. 0.03 (c) What percent of CT scans in this target population would be positive? (Enter your answer rounded to two decimal places.) 0,89 0,93 percent = 09 neorrect (d) What is the probability that a Medicare-enrolled heavy smoker who gets a positive CT scan actually has lung cancer, P(cancer | test+)? (Enter your answer rounded to three decimal places.) Anwer Bank P(cancer | test+) P(no cancer | tot-) Pet- no cancer) P(cancer | test+) - P(o+ cancer) P(canoor | lot-) 297 P(cancer) 89 ->,0267 oll.033 9021 LC Tist し ,0679 Postive .0 7 NO し not
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