A survey of an urban university (population of 25,450) showed that 870 of 1100 students sampled supported a fee increase to fund improvements to the student recreation center. Using the 99% level of confidence, what is the confidence interval for the proportion of students supporting the fee increase?
a. [0.751, 0.829]
b. [0.758, 0.822]
c. [0.767, 0.814]
d. [0.771, 0.811]