According to the Australian Government Department of Health, 41% of Australian college students nationwide engage in “binge drinking” behaviour, having five or more drinks in one occasion during the past two weeks. The president of a prestigious college wonders if the proportion of students enrolled at the college that binge drink is actually lower than the national proportion. In a commissioned study, 348 students are selected randomly from a list of all students enrolled at the college. Of these, 132 admitted to having engaged in binge drinking.

Based on the results of the study and using the "plus four" method, a 95% confidence interval for the proportion of all students at this college that engage in binge drinking is

The RSPCA Australia conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). The survey was mailed to a random sample of 120 veterinary clinics throughout the country and of these, 88 responded that they do not treat large animals.

Using the "plus four" method, a  95% confidence interval for p, the proportion of veterinary clinics that do not treat large animals is:

A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local ballot. They randomly selected 850 residents in the community and contacted them by telephone. Of the 850 residents surveyed, 410 supported the property tax levy. Let p represent the proportion of residents in the community that support the property tax levy.

A 90% confidence interval for p is (use the large sample confidence interval procedure)

A radio talk show host is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to 18. To make this determination, he poses the following question to his listeners: "Do you think that the drinking age should be reduced to 18 in light of the fact that 18-year-olds are eligible for military service?" He asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not. Of the 200 people who phoned in, 140 answered "yes." The standard error for the proportion p of those who phoned in and answered "yes" is:

The RSPCA Australia conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). The survey was mailed to a random sample of 250 veterinary clinics throughout the country. 200 veterinary clinics have responded and of these, 144 responded that they do not treat large animals.