) Imagine that the Daily Texan conducted a poll to estimate the proportion of UT students who approve of the school's move from the Big XII Conference to the SEC. For the poll, the Daily Texan obtained a list of all UT students and randomly selected 100 of these students to contact for the survey. Assume all of the contacted students agreed to take the survey and that 62 of them said they approved of the move to the SEC.

(a) What is your point estimate for the proportion of all UT students who approve of the move to the SEC?

(b) Calculate a 95% confidence interval for your estimate in (a) above.

(c) If the population of UT students was actually evenly divided (so that the true proportion approving of the move to the SEC was .5) what is the probability of getting at least 62 out of 100 randomly sampled students approving of the move to the SEC? (Hint: You can use a normal approximation to the sampling distribution of this sample proportion