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 18 persons 65 to 74 years of age in your state.
Round your answer to 4 decimal places, the tolerance is +/-0.0001.
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 18 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 , the population of your state may have a percentage of chronic heart conditions than those of other states