I agreer with Logan but won't be as hard on you
Usually we pick up these 1-2% dots on our proofing equipment.
We flag it to customer at that stage and it is always AA, which means we fix it and customer/designer pays for it.
Process of fixing we call "sealing the background".
Yes, sometimes it gets missed and it gets printed like that and it's never our fault if it's supplied with 1% in background, you'll get it on press.
Next time be more careful and make sure either background is sealed or you make clipping path.
Good luck.
