I gathered 11 responses to a question where the options were A, B, or C.
9 people answered A. 2 people answered B. 0 people answered C.
Using Clopper-Pearson 95% confidence intervals, I obtained that P(A) ranges from (0.48, 0.97), P(B) ranges from (0.2 to 0.52), and P(C) ranges from (0, 0.28).
What statements can I make these results? Can I say that P(A) > P(C) at 95% confidence level? Seems like it would be more than that.