In my opinion the most useful answer would be, for example a mean:
The mean is within this interval. We used a model that has this properties, 95% of the...
I think it is ridiculous that the main focus always seems to be arcane properties of the statistical algorithm and not the answer that it delivers.
Say you have a confidence interval of 95% or higher (p value <= 5%), then the right thing to say is:
95% of the variance within the data is explained by the model (you've come up with).