Let denote the proportion of students at University X who were interested in purchasing the combined basketball and football season ticket. Construct a 95% confidence interval for .

6. A researcher conducted a mail survey of the students of University X to determine what percentage of these students were interested in purchasing a combined season ticket for basketball and football. a She mailed out questionnaires to a simple random sample of 600 students. 90 students responded to the mail survey. 54 out of these 90 students were interested in purchasing the combined ticket. o The researcher then randomly selected 150 students out of the 510 students who did not respond to the mail survey, and contacted them by telephone. All of these 150 students cooperated 42 out these 150 students were interested in purchasing the combined ticket. Let 1: denote the proportion of students at University X who were interested in purchasing the combined basketball and football season ticket. Construct a 95% condence interval for It. (Show work)