Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. USE SALT (a) What is the probability that among 10 true hypertensives least 50% are being treated appropriately and are complying with this treatment? (Round your answer to four decimal places.) (b) What is the probability that at least 8 of the 10 hypertensives know they have high blood pressure? (Round your answer to four decimal places.) (c) If the preceding 50% rates were each reduced to 35% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality e decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? (Round your answer to two decimal places.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
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Hypertension
A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do
know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills.
USE SALT
(a) What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment? (Round your answer to four decimal places.)
(b) What is the probability that at least 8 of the 10 hypertensives know they have high blood pressure? (Round your answer to four decimal places.)
(c) If the preceding 50% rates were each reduced to 35% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be
prevented by the education program? (Round your answer to two decimal places.)
The overall mortality rate among hypertensives would be reduced by
%.
Transcribed Image Text:Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. USE SALT (a) What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment? (Round your answer to four decimal places.) (b) What is the probability that at least 8 of the 10 hypertensives know they have high blood pressure? (Round your answer to four decimal places.) (c) If the preceding 50% rates were each reduced to 35% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? (Round your answer to two decimal places.) The overall mortality rate among hypertensives would be reduced by %.
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