Let us say we have 2 independent trials with two different coins.
- In sample A, coin 1 is tossed 20 times and we record 6 heads and 14 tails.
- In sample B, coin 2 is flipped 30 times and we record 20 heads and 10 tails.
H0 is that both underlying distributions for experiments 1 and 2 are the same, or that both are "fair". Given the small sample size, what test would you deem appropriate here? Is a binomial test more exact here then the Fisher's / Chi2, and what is the reasoning
Many thanks for the help!