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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6.4.6.1
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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