It is a newbie question but I am not sure that I fully understand the confidence intervals. Let's use OLS regression as an example.
My understanding is: If alpha=0.05, so it means that OLS regression may show
It means that there are 95% that the coefficient value is between the lowCI and high CI. That is why alpha=0.05 is more relaxed compared to alpha=0.01 (99% that the coefficient value lies between lowCI and high CI).
Is this thought correct? Apart from that, is there any universal rule to choose the value of alpha?