I don't know very much about how reproducibility validation works. Is it the case that, if we assume p= ~0.05 and all 50 original studies are perfect, we would expect the first iteration of reproducibility validation to fail for ~2 of the 50 studies?
Not necessarily 5%, no. The p-value is controlling the false-positive rate, i.e. it constrains the likelihood that a seemingly-significant result was really just by chance. Therefore, if we were now given the real ground truth, it's likely that ~5% of the original positive results (if the studies were properly conducted) would turn out to be unsubstantiated after all. But you seem to be positing the reverse: a hypoth…
Not quite. Assume P of the tests are truly positive, and N are truly negative.
We expect to see approximately 0.05 x N + A x P positives in the entire sample, where A is the probability of a false negative. So the fraction of true positives not replicated is likely to be 0.05 x N / (0.05 x N + A x P).