I'm trying to analyze the results of a survey question. The question is multiple choice (but each respondent can only select one answer) and I want to calculate 95% confidence intervals for their responses.
A 122 B 55 C 16 D 14 E 13 ---------- Total 220
If I'm using R, can I treat each choice as a binomial (122 out of 220 chose A, 98 did not choose A) and use
binconf() to compute the interval or is there a better method for categorical data?