The Journal of the American Medical Association (Apr. 18, 2001) published the results of a study of alcohol consumption in patients suffering from acute myocardial infarction (AMI). The patients were classified according to average number of alcoholic drinks per week and whether or not they had congestive heart failure. A summary of the results for 1,913 AMI patients is shown in the table.

a. Find the sample proportion of abstainers with congestive heart failure.
b. Find the sample proportion of moderate drinkers (patients who have less than 7 drinks per week) with congestive heart failure.
c. Find the sample proportion of heavy drinkers (patients who have 7 or more drinks per week) with congestive heart failure.
d. Compare the sample proportions, parts a-c. Does it appear that the proportion of AMI patients with congestive heart failure depends on alcohol consumption?
e. Give the null hypothesis for testing whether the proportion of AMI patients with congestive heart failure depends on alcohol consumption.
f. Conduct the test, part e, using α = .05. What do you conclude?

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Alcohol Consumption Congestive Heart Failure Abstainers Drinks/Week Drinks/Week Less than7 7or More Yes No 146 750 106 590 29 292 Totals 896 696 321