This is most likely a false positive. "Backdoor.Trojan Activity 2" is so generic as to be an entirely meaningless name, and is probably used to refer to inspecific activity that may or may not actually be malicious. When I Google for this, I see a number of reports of this, all linked to a variety of entirely legitimate sites.
I would advocate the same thing that has already been said: remove Norton. It's well-known for causing performance and stability problems, and it's only so-so at detecting Mac malware. Mac OS X does a better job out of the box than Norton does.
Next, to set your mind at ease, get a copy of ClamXav and scan your hard drive. It currently detects all known Mac malware. If it doesn't find anything, you probably aren't infected with anything.
Finally, if you're still worried about outgoing connections, install Little Snitch. Be forewarned, though... Little Snitch will expose you to a number of perfectly normal outgoing connections going on all the time that you're not aware of. This can easily lead to a descent into rampant paranoia if you let it, so just be ready to research all the processes making these connections and not freak out about it.