One lesson of the common misuse of statistics is to not "defy the data" until you're sure what it says.

Here's an important reply cited in the other threads:
http://www.ruudwetzels.com//articles/Wagenmakersetal_subm.pdf

Does psi exist? In a recent article, Dr. Bem conducted nine studies with over a thousand participants in an attempt to demonstrate that future events retroactively affect people’s responses. Here we discuss several limitations of Bem’s experiments on psi; in particular, we show that the data analysis was partly exploratory, and that one-sided p-values may overstate the statistical evidence against the null hypothesis. We reanalyze Bem’s data using a default Bayesian t-test and show that the evidence for psi is weak to nonexistent.