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I have one proportion result "A" from observed breeding pairs. I then did random bootstrap resampling for a comparison result "B". I want to show that results "B" agrees with result "A", meaning that the observed proportion is no different than what would could happen from random pairing.

I have been using 2 x 2 contingency tables and chi-squared tests, but these proportions "A" and "B" are correlated: they are derived from the same size measures and from the same subjects (plus a few extras in the bootstrap sample). These data are not paired but obviously correlated.

How might I test this problem? I am aware of Pearson's chi-squared, Fisher's exact test, McNemar's test and sign test. None of these are suitable. I was thinking perhaps to use a binomial test, with one of the proportions as reference. I am using R for statistical computing.

Cheers.