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At 0.01 and 0,05 levels of significance, is there reason to believe that high income families usually send their children to private colleges/universities and low

At 0.01 and 0,05 levels of significance, is there reason to believe that high income families usually send their children to private colleges/universities and low income families often send their children to public/state colleges? To verify this contention, families are selected at random with the following results obtained.

Low Income 486 516
High Income 627 342

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