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A paper described the results of a medical study in which one treatment was shown...

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A paper described the results of a medical study in which one treatment was shown to be better for men and better for women than a competing treatment However if the data for men and are combined it appears as though the competing treatment is better To see how this can happen consider the accompanying data tables constructed from information in the paper Subjects in the study were given either Treatment A or Treatment B and their s was noted Let S be the event that a patient selected at random survives A be the event that a patient selected at random received Treatment A and B be the event that a patient selected at received Treatment B Round your answers to three decimal places a The following table summarizes data for men and women combined Treatment A Treatment B Total i Find P S ii Find P SIA iii Find P SIB Survived Died Total 214 248 462 86 300 52 138 iv Which treatment appears to be better Treatment A O Treatment B 300 the study

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