given this reproucible example

library(coin)

independence_test(asat ~ group, data = asat, ## exact null distribution
distribution = "exact")

I'm wondering why the default results are reporting also the critical value
Z by considering that this method is supposed to be "exact", i.e. computing
the direct probability:

pvalue(independence_test(asat ~ group, data = asat, ## exact null
distribution distribution = "exact"))

my question is: what is the correct interpretation (if it exists at all) of
the Z value printed out by the 'plain' function 'independence_test' when it
is asked for an 'exact' test?

am I completely out of track?

sorry but I'm here missing the point somewhere, somehow...

thank you for the feedback

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