Program user profile, adopted authority, and named activation groups

Folks:

I'm having a brain cramp wrt authority and activation groups.

I have program 'A' that has *OWNER as it's 'user profile' attribute,
running in a specific named activation group. This program is calling a
procedure in a service program that has *USER as it's 'user profile' and
'use adopted authority' is *YES. The service program has it's own named
activation group.

Will the procedure run with the authority of the owner of program A, or
will it use the job users authority because it's in it's own activation
group?

Thanks!

David