Consider two variables: one denotes whether a person truly has a disease (D) or not (D) and the oth denotes whether a person tests positively for the disease (Pos) or not (Neg). Use the contingency table answer the questions. Pos Neg D 53 2 (a) Calculate P(PosnD). (b) Calculate P(NegUD). (c) Calculate P(Pos|D) (this is called the sensitivity). Dº 4 455

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Consider two variables: one denotes whether a person truly has a disease (D) or not (D) and the other
denotes whether a person tests positively for the disease (Pos) or not (Neg). Use the contingency table to
answer the questions.
Pos
Neg
D
53
2
(a) Calculate P(Posn D).
(b) Calculate P(Negu D).
(c) Calculate P(Pos|D) (this is called the sensitivity).
(d) Calculate P(Neg|D) (this is called the specificity).
Dº
4
455
Transcribed Image Text:Consider two variables: one denotes whether a person truly has a disease (D) or not (D) and the other denotes whether a person tests positively for the disease (Pos) or not (Neg). Use the contingency table to answer the questions. Pos Neg D 53 2 (a) Calculate P(Posn D). (b) Calculate P(Negu D). (c) Calculate P(Pos|D) (this is called the sensitivity). (d) Calculate P(Neg|D) (this is called the specificity). Dº 4 455
Expert Solution
Step 1

Given data:

  D Dc Row Total
Pos 53 4 57
Neg 2 455 457
Column Total 55 459 514
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