Says problem with internet connection - but I am connected

Have you tried this stuff: http://answers.ea.com/t5/The-Sims-3/FAQ-Unable-to-connect-with-origin/td-p/186744  ?

I realize it's a different error but Windows people seem to have a lot of trouble with their firewalls and anitvirus programs blocking Origin/the Sims so try some of the stuff in that post might help.  

Good Luck 🙂