WAA MATHEMATICAL ASSOCIATION OF AMERIC webwork cardenstat223 12017/ hw 1613 HW 1

Question

WAA MATHEMATICAL ASSOCIATION OF AMERIC webwork cardenstat223 12017/ hw 1613 HW 16: Problem 3 Previous Problem List Next (1 point Amedical research teamistryrgt determine which of Treatment A or Theatrekbetreseg ureyen, ken nreia, ie ha whether thelr kidney stones are large or smal For patients with small kidney stones, Treatment A is effective for 87 patents out of 09,and Theatment 8s efcive for 337 patients out of For patients with large kidney stones, Treatment A is effective for 240 pabents out of 377, and Theatmersis eetive tor Fll in the top two rows of the tollowing table with the proportion of patents for which the treatment is sucoessts, and etermineY an atarnce af Paradox For the bottom row, enter either wor , wintoes Combined Small stonesLargestones Treatment A Submit Answers Preview My Answers You have attempted this problem O times You have unlimited attempts remaining

Explanation / Answer

Pr(Treatment A for small kidney stones) = 87/89 = 0.9775

Pr(Treatment A for Large kidney stones) = 248/377 = 0.6578

Pr(Treatment COmbined) = (87 + 248)/(89 + 377) = 0.7189

Pr(Treatment B for small kidney stones) = 337/394 = 0.8553

Pr(Treatment B for Large kidney stones) = 49/83 = 0.5904

Pr(Combined) = (337 + 49)/(394 + 83) = 0.8092

Small stones Large stones Combined treatment A 0.9775 0.6578 0.7189 Treatment B 0.8553 0.5904 0.8092 Better Treat A A B

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