Another study I read some years ago that I can probably never find again, but I am sure you are already aware of because you seem interested in this sort of thing, showed that by quoting the p value as less than 0.1% added unsubstantiated authority to the numbers.

Anecdotally though I prefer putting the statement about the p value before the statistical number.

Some guys out of Harvard, for their final year thesis that got some massive government grant demonstrated that bequeathing knowledge on the other person in the form of positive attributes, such as already having read a study, increased the chance that your statements would be believed. Especially if you use mirroring and nod as you are saying it so that they nod, and thereby agree, along with you.

Also, throwing in the fact that you personally disagree with the study you read, or point out that you think the methodology employed had some flaws, or that the results were not as conclusive as the authors claim, adds even more authority to your citing of the study.