Well, I think this whole thing is silly and supports not running NHST and just reporting effect sizes. With the effect size you will be able to show the magnitude, direction, and most importantly uncertainty via precision values. The latter will also help convey sample size concerns.
I am more inclined these days to agree with
@Miner - in that you cannot completely disregard a p-value of 0.0501. There is information there. Should you make a decision based on it - hmm, up to you. You also have to keep in mind possible study design problems (e.g., misclassification, selection bias) and that all models are incorrect and just a proxy to understanding the phenomenon. Given these things, is there truly not an effect or is it lost a little bit in the noise. Many biases bias toward the null and repeat studies are always needed.