Check out this paper: <a href="http:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;1311.0081" rel="nofollow">http:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;1311.0081</a><p>Your interpretation is fine up until we start using a cutoff and talking about significant or not significant results, whether the null hypothesis is true, etc. It is using significance levels that introduces the nonsense.