A Simple Random Sample of 900 13- to 17-Year-Olds Found

A simple random sample of 900 13- to 17-year-olds found that 411 had responded better to a new drug therapy for autism. Let p be the proportion of all teens in this age range who respond better. What is a 95% confidence interval for p based on these data?

A) 0.46 ± 0.017
B) 0.46 ± 0.027
C) 0.46 ± 0.033
D) 0.46 ± 0.248