Question

1.5-10. Suppose we want to investigate the percentage of abused children in a certain population. To do this, doc- tors examine some of these children taken at random from that population. However, doctors are not perfect: They some times classify an abused child (A) as one not abused (D or they classify a nonabused child (A) as one that is abused (D). Suppose these error rates are Pl D-IA")-0.08 and P(DIA-) = 0.05, respectively. thus, P(D IA)0.92 and PD IA) 0.95 are the probabilities of the correct decisions. Let us pretend that only 2% of all children are abused: that is, P(A+) 0.02 and P(A) 0.98

Answer 1

P(D )92 p(Rt)- 002, : 0,018 Gナ0049 : 006 0.06 (00) 64e 0106 ) P (p) 911 10) 09 1-1,05% . 09326 : 0,998 - 0.002