The National Center for Health Statistics reports that 25% of all Americans betw
ID: 3059599 • Letter: T
Question
The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 21 persons 65 to 74 years of age in your state
. *(Round your answer to 2 decimal places.) **(Round the intermediate values to 4 decimal places. Round your answer to 4 decimal places.)
a. On the basis of the figure from the National Center for Health Statistics, what is the expected number of persons 65 to 74 years of age in your survey who have a chronic heart condition? *
b. Suppose only one person in your survey has a chronic heart condition. What is the probability of getting one or fewer people with a chronic heart condition in a sample of 21 if 25% of the population in this age bracket has this health problem? What do you conclude about your state from the sample data? **
Since the probability is so __________(Low/High), the population of your state may have a __________(Higher/Lower)percentage of chronic heart conditions than those of other states.
Explanation / Answer
a)
On the basis of the figure from the National Center for Health Statistics, expected number of persons between 65 to 74 years of age to have a chronic heart condition would be 0.25*21=5.25 approx 6
b)
n=21, x=0,1, p=0.25, q=0.75
n!/x!(n-x)!*p^x*q^n-x
0.019
Since the probability is so Low, the population of your state may have a Lower percentage of chronic heart conditions than those of other states.
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