put a T-Mobile sim card(prepaid) in my Note 2, works fine for voice/text, but can't get data at all?

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http://forums.androidcentral.com – I have an old GSM phone with a T-Mobile prepaid sim card. I keep it on the daily plan which comes with unlimited voice/text and data. When I put that GSM sim card inside my Verizon Wireless Samsung Galaxy Note 2, voice and text work just fine. However, I can't get any data at all. In addition, the phone also keeps giving me a warning message that it's a non-Verizon sim card. :) Are there ways around these problems? Thanks in advance for any suggestions. :) (HowTos)