I'm new with Android and the project appcompat_v7 always be created when I create new Android application project makes me so uncomfortable.
This is just a walk around. Choose Project Properties -> Android then at Library box just remove appcompat_v7_x and add appcompat_v7. Now you can delete appcompat_v7_x.
Uncheck Create Activity in create project wizard doesn't work, because when creating activity by wizard the appcompat_v7_x appear again. My ADT's version is v22.6.2-1085508.
I'm sorry if my English is bad.