In: Math
Researchers are interested in the relationship between binge drinking and membership in a Greek life organization on a college campus. Suppose the researchers conduct a thorough questionnaire on a random sample of students and compose the following table displaying their preliminary results. Binge Drinking No Binge Drinking Total Greek Life Organization 131 55 186 No Greek Life Organiation 102 150 252 Total 233 205 438 A) Calculate the prevalence of binge drinking in each of the groups. B) Calculate a prevalence odds ratio for binge drinking based on membership in a Greek life organization.
The given information is recorded in table
Binge Drinking | No Binge Drinking | Total | |
Greek Life Organization | 131 | 55 | 186 |
No Greek Life Organiation | 102 | 150 | 252 |
Total | 233 | 205 | 438 |
A)
Prevalence is the number of people in the sample with the characteristic of interest, divided by the total number of people in the sample. The prevalence of binge drinking was calculated by the total number of students who reported at least one binge drinking divide by the total number of students in a sample.
Prevalence = 131/186 = 0.704 when students have membership in a Greek life organization
Prevalence = 102/252 = 0.404 when students do not have membership in a Greek life organization
Prevalence = 233/438 = 0.532 (Total)
B) prevalence odds ratio for binge drinking based on membership in a Greek life organization is
prevalence odds ratio is the ratio of prevalence of binge drinking have membership in a Greek life organization divided by Prevalence of binge drinking do not have membership in a Greek life organization.
prevalence odds ratio = (131/186)/(102/252)= 1.74