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
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 AA, 98 did not choose AA) and use binconf()binconf()
to compute the interval or is there a better method for categorical data?