The sample size was 55. 15 showed sign of response. I don't know the probabilities, but that's probably greater than the probability of response without treatment, with statistical significance. Obviously, you'd have to know the exact details to gauge its significance -- I'm sure those will be in the paper.
It depends on what the prior probability of them waking up without intervention was as to its significance. Statistical significance is a function of both frequency of effect and magnitude of effect.