reporting statistical significance Lets say you do a T test for difference in means with alpha at .05. If the p value is .08 and you want to report this in words to laymen, non-statisticians
would you say:
The difference in means are not statistically significant at a 5% significance level 
or would you say something about the 95% confidence intervals used to determine significance? if so - in what way?
has to be 1 sentence IN WORDS not numbers
 A: I would prefer to report the mean difference and 95% confidence interval. "We estimated a mean difference of X.X (95% CI X.X - X.X) which was not statistically significant at the 0.05 level.". 
This is conventional reporting technique for findings. A verbal description of exactly what a confidence interval and/or p-value are is not what you asked for. Nonetheless an interpretation of a confidence interval is "an interval in which findings would be expected to fall if the present study was replicated independently an infinite number of times." Similarly a $p$-value is interpreted as "a frequency with which infinite, independent replications of the present study would produce findings as inconsistent or more inconsistent with the null hypothesis than the present study if the null hypothesis were true."
Your interpretation is wrong because it is not the means that are statistically significant, but their difference. So you can say, "The mean difference was not statistically significant at the 0.05 level".
