So, I know that if we get a p<= 0.05 (95% CI), I know that the null hypothesis can be rejected. Now my question is how do I do that with CI?
Eg. in the table below A17S group has a CI of (27.835-31.865) whereas the A17T group has a CI of (31.36-34.972).
I know I am a bit wrong when thinking that only CI's that do not overlap are significant. Indeed the same data when performing a t-test gives me significance (p=0.02).
So my question is this:
If I have two confidence intervals, how do I decide that the difference is statistically significant at say 95% CI?