According to the Heart and Stroke Foundation of Canada, in a recent year 17.6% of Canadians between the ages of 65 and 79 report having heart disease or stroke. Suppose you live in a province where the environment is conducive to good health and low stress and you believe these conditions promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 20 persons 65 to 79 years of age in your province.
a. On the basis of the figure from the Heart and Stroke Foundation, what is the expected number of people 65 to 79 years of age in your survey who have heart disease or stroke?
b. Suppose only one person in your survey has heart disease or stroke. What is the probability of getting one or fewer people with heart disease or stroke in a sample of 20 if 17.6% of the population in this age bracket has this health problem? What do you conclude about your province from the sample data?