One-sided hypothesis test for c_A?

[danielzuegner]

Hi,

I have a question about the following section of the Code:

if binom_test(count1, count1 + count2, p=0.5) > alpha:
            return Smooth.ABSTAIN

According to the docstring of binom_test, by default it performs a two-sided hypothesis test. But to me it seems that we're only interested in a one-sided hypothesis test (i.e. calling binom_test with alternative='greater') with the alternative hypothesis that p>0.5, and abstain if the null hypothesis p=0.5 cannot be rejected. Alternatively, we could compare the result of binom_test with 2*alpha.

Could this be the case or am I missing something?

Thanks!

[jmcohen]

This paper https://arxiv.org/abs/1610.03944 proves that the two-sided test gives the right result.

[danielzuegner]

Thank you!