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Question:

Are you allowed to turn right on a red signal?

A Yes, but only after coming to a stop and yielding to traffic and pedestrians.
Explaination

You are allowed to turn right on a red signal. However, you must first come to a complete stop and then yield to all pedestrians and vehicles. [Standard Three-Color Signals, Traffic Signals, Chapter VI: Traffic Signs, Signals and Markings, Official Hawaii Driver's Manual]