I am having a hard time with a few questions I have been trying to figure out.

-What is the relationship between the statistical tests' significance level and the probability that H[sub:1fm7dgd6]0[/sub:1fm7dgd6] is true and why?

-Between a change in its significance level and its power

-What is the probability that H[sub:1fm7dgd6]0[/sub:1fm7dgd6] is true if a test rejects. Is it ??

-The relationship between probability of a Type I error (that H[sub:1fm7dgd6]0[/sub:1fm7dgd6] is falsely rejected) and the poewr of the test

-What is a rejection region

-the relationship between power of a test and a null dist.

If you could answer any of these for me it would be extremely helpful. Thank you.