I have two methods that I would like to compare (A and B). I have tested both methods on the same sample (n=28) from a large population. Method A gave the correct result 11 times but method B gave the correct result 17 times. I think that this indicates that method B is 11/6-1 = 83% better than method A. As well as this point estimate for the difference between the methods, I would like to understand the uncertainty caused by my small number of samples. How can I construct a 95% CI for the difference in performance please?
In 11 cases, both test A and test B worked.
In no cases, test A worked but test B didn't work.
In 6 cases, test A didn't work but test B worked.
In 11 cases, both test A and test B didn't work.