correctness of your methods as well as on the An administrator at a large university wants to conduct a survey to estimate the proportion of students who are satisfied with the appearance of the university buildings and grounds The administrator is considering three methods of obtaining a sample of 500 students from the 70 000 students at the university a Because of financial constraints the first method the administrator is considering consists of taking a convenience sample to keep the expenses low A very large number of students will attend the first football game of the season and the first 500 students who enter the football stadium could be used as a sample Why might such a sampling method be biased in producing an estimate of the proportion of students who are satisfied with the appearance of the buildings and grounds b Because of the large number of students at the university the second method the administrator is considering consists of using a computer with a random number generator to select a simple random sample of 500 students from a list of 70 000 student names Describe how to implement such a method c Because stratification can often provide a more precise estimate than a simple random sample the third method the administrator is considering consists of selecting a stratified random sample of 500 students The university has two campuses with male and female students at each campus Under what circumstance s would stratification by campus provide a more precise estimate of the proportion of students who are satisfied with the appearance of the university buildings and grounds than stratification by gender