Alternative hypothesis in Bayesian contigency tables
I'm a bit confused by the wording on the alternative hypothesis when conducting bayesian contigency tables in Jasp. For a non-directional test it reads "Note. For all tests, the alternative hypothesis specifies that (row)group A not equal to (row) group B. ". For directional test it reads ”Group A is greater/is less than group B”.
To my understanding the test (which basically is the baysian counterpart to a chi-square test?) test if the distribution of Categorical variable one is independent of the distribution of categorical variable two. Or is this a missunderstanding?
Why then is the alternative hypothesis stated as if it only looked at one of the categorical variables? Why doesn't the alternative hypothesis focus on the relative frequencies? And additionally it almost sounds like the alternative hypothesis is that the distribution differs, although clearly when testing with some made up data the test seems to work as I understand it, i.e. very high bayes-factor (BF10) when the two categorical variables are related, but in such a situation the groups are of course clearly not equal (which seems to be the alternative hypothesis as it is worded?)
Or am I missing something?