Enable notifications for specific contact groups

Hello,
I'm about ready to enable wide notifications from our XI install, but I'm not sure how to enable them just for the contact groups that need to receive them.
Would this be done through the notifications panel, then selecting only the groups I want notified on the right column, then apply a template? I used myself as a test for this and I receive ALL emails, even for alerts that I am not in the notification group for. I don't want all contact groups to receive all emails, only the emails that their group is configured as a recipient for.
Thanks!
I'm about ready to enable wide notifications from our XI install, but I'm not sure how to enable them just for the contact groups that need to receive them.
Would this be done through the notifications panel, then selecting only the groups I want notified on the right column, then apply a template? I used myself as a test for this and I receive ALL emails, even for alerts that I am not in the notification group for. I don't want all contact groups to receive all emails, only the emails that their group is configured as a recipient for.
Thanks!