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There is not a separate tier of gifted services for "majority culture" as "bias" would imply

This is not a statement you are able to make about the entire country. In some places and in some schools, parents who are not from the majority culture (this can mean a lot of things) will have a more difficult time advocating for their child. They may not know how to small-talk a teacher in the culturally accepted way, ask the right questions, or network with the right parents to find out what they really need to know. They may simply not be privy to certain networks of knowledge at all.

In my community, there is a charter school that never announces the fact that in order to be let in, you MUST sign up to tour the school months in advance of their lottery. Tours accept a limited number of particpants and only run certain times of the year. You have to know people who will tell you that, or you have to be sufficiently motivated to call the school almost a year before your child would enroll. This automatically excludes many people who are not highly motivated and/or "in the know" about the school. This school has very low minority and foreign student enrollment.