maybe...I did two tests (one-sided): a Mantel-Haenszel test on the odds ratio (p = 0.06) and a two-sample binomial test on the difference in proportions (p = 0.07). I presume they are using Mantel-Haenszel (or, equivalently, logistic regression), but what did you use to get p < 0.05?
[NOTE: One-sided tests on the efficacy side, but they might instead be doing two-sided tests on the safety data, in which the p-values would double.]