5.62 Triple Blood Test Example 8 about the Triple Blood Test for Down syndrome found the results shown in the table on next column.

a. Estimate the probability that Down syndrome occurs 1Down = Yes2.

b. Find the estimated (i) sensitivity and (ii) specificity.

c. Find the estimated (i) P1Yes •POS2 and (ii) P1No •
NEG2. (Note: These probabilities are the predictive values.)

d. Explain how the probabilities in parts b and c give four ways of describing the probability that a diagnostic test makes a correct decision.

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Blood Test Down POS NEG Total Yes 48 6 54 No 1307 3921 5228 Total 1355 3927 5282