If the preceding 50% rates were each reduced to 40% 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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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.

If the preceding 50% rates were each reduced to
40% 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?

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