A large number of surgery patients get infections after surgery, which can sometimes be quite serious. Researchers randomly assigned some surgery patients to receive a simple antibiotic ointment after surgery, others to receive a placebo, and others to receive just cleansing with soap. If we wanted to test the association between treatment and whether or not patients get an infection after surgery, would this be a test of homogeneity or of independence? Explain. Choose the correct answer beloew.
A. It would be a test of independence because there was only one sample.
B. It would be a test of independence because the patients are being separated into more than two categories after being asked the question.
C. It would be a test of homogeneity because there was only one sample.
D. It would be a test of homogeneity because the patients were randomly assigned to different groups.