This may be a silly question, but I wanted to confirm since I have never come across this in my studies before.
Assume I have to test the null hypothesis that z=1
I construct a 95% CI for z, and find that the interval does not contain 1 e.g. interval is (1.5 to 2), and so reject the null.
However in the case the I have to test the null that z is equal/greater 1
If I am using the same interval (1.5 to 2), would I accept or reject the null hypothesis?
I personally think I should accept, since the conditions are satisfied (i.e. > 1).