Of 1200 undergraduates enrolled at a university, a simple random sample of 600 have been surveyed to measure student support for a $5 activities fee increase to help fund women's intercollegiate athletics at the NCAA division 1A level. Of those who were polled, 55% supported the fee increase.
Construct and interpret the 95% and 99% confidence intervals for the population proportion.
Based on your results, comment on the possibility that the fee increase might lose when it is voted on at next week's university-wide student referendum.