What method to use for two sample ratio contrasts (small sample)

#1
Hello everyone,

I have two small samples (n1=10; n2=10) where I have success ratios of 3/10 and 1/10. The test is a Wason psychology test where I cannot estimate p or q, however I would like to compare said ratios and see if the difference is statistically significant. My textbooks all require samples at n≥30 to use Z values and normal distribution, so I don't know if this is possible. My H1 would be π1 > π2.

Any help greatly appreciated, and I am sorry if this question is in the wrong place. Thanks!

Augusto
 

katxt

Well-Known Member
#2
Perhaps Fisher's exact test.
You can find a Fishers exact test calculator on line, but it looks very unlikely that there is a significant difference.