I'm struggling with analysing the following categorical data shown in the barplot. There are 5 categories (R, D, E, N, A) and I have the number of votes (number of respondents) for each one. As shown in the figure, the number of respondents choosing category R (21) and D (20) are very similar. I was wondering if there is a statistical test I can use to test which category should be chosen? Essentially, I want to know how big the difference in number of respondents need to be between the two most popular categories in order to be able to choose one of them with statistical significance.
I wanted to use Fisher's exact test for counts by studying the ratio 21/55 and 20/55, 55 being the total number of respondents. However, all the examples I have come across are analysing 2x2 contingency tables. Whereas in this case there's only 1x2. Alternatively, I was wondering if all five categories can be used in the test somehow. However, I still don't have the two usual groups such as man/ woman or medicine/ no medicine. Any ideas on how I can still use Fisher's test?