1. A study looks at alcohol consumption in patients suffering from acute myocardial infarction (heart attacks). The
patients were classified according to average number of alcoholic beverages per week, and whether or not they had
congestive heart failure. A summary of the data is presented in the following table. (The Journal of the American
Medical Association 2001)
less than 7 drinks/week
7 or more drinks/week
Conduct a two population proportions Z test to determine if alcohol consumption increases the chances of a
Conduct a Chi-square of independence to determine if heart failure and alcohol consumption are independent
Write a conclusion for each of the tests conducted. The results are similar or not?
2. Suppose that in a typical day the proportion of students that drive to campus is 30%, bike to campus is 40%, and the
remaining 30% use some other way (walk, take a bus, get a ride). The campus sponsors a "Clear Air Day" to encourage
people not to drive to campus. To evaluate if the campaign was a success, they wanted to determine if the proportions
using each mode of transportation on that particular day differ from the norm. A random sample of 300 students was
selected, and asked how they came to campus that day:
State the null and alternate hypothesis
Conduct the appropriate hypothesis test
Write a conclusion in the context of the situation
[NOTE: In SAS you have to order the data by "Method" alphabetically, otherwise SAS will do it for you automatically, and
you will end up with the wrong answers.]
BONUS QUESTION: Fisher's exact test can also be used to analyze 2 by 2 tables. Explain under which conditions you can
use this test. What are the hypothesis for this test? Determine whether taking Echinacea reduces the risk of getting a
cold by conducting (by hand) a Fisher exact test (data is shown below).
These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction
of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.