Hi,
I was having same issue like you and I fixed my problem by following few steps. Here I am putting those steps. Hope it would also help you there.
1. Adjust Static IP on mac OS X. Refer this link to perform this task:
http://portforward.com/networking/static-Mac10.4.htm
If this link doesn't help you then please follow this link http://www.howtogeek.com/howto/22161/how-to-set-up-a-static-ip-in-mac-os-x/
2. Try clearing cache of origin using following link:
http://help.ea.com/in/article/clearing-your-origin-temporary-files/
If above both steps didn't help you, try to uninstall everything including origin and game & then follow this link http://support.apple.com/kb/PH4600 or http://support.apple.com/kb/PH6651 to create new user admin account on Mac system.
Then reinstall origin and check game download again. It should work for you. Even if none of above solution help you, contact EA help by following this link: http://answers.ea.com/t5/Answer-HQ/How-to-contact-a-Game-Advisor-using-the-new-EA-Help-page/td-p/2161281
Hope to see you in game soon. Best of luck!