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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 women 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 survival 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 random 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 (1) Find P(S). (ii) Find P(SIA). (iii) Find P(SIB). Survived Died 89 211 249 51 460 140 (iv) Which treatment appears to be better? O Treatment A O Treatment B Total 300 300

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 women 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 survival 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 random 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 (1) Find P(S). (ii) Find P(SIA). (iii) Find P(SIB). Survived Died 89 211 249 51 460 140 (iv) Which treatment appears to be better? O Treatment A O Treatment B Total 300 300

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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6.4.6.1

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 women 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 survival 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 random 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(S|B). Survived Died 211 249 89 51 140 460 (iv) Which treatment appears to be better? Treatment A Treatment B Total 300 300
Transcribed Image Text: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 women 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 survival 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 random 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(S|B). Survived Died 211 249 89 51 140 460 (iv) Which treatment appears to be better? Treatment A Treatment B Total 300 300
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