It is well known that, on average, the schools serving poor children are of lower quality than those serving students from higher-income families. Resources are more limited in schools in low-income areas, for example, and teaching positions are more likely to be filled by inexperienced and uncertified teachers. Now let’s assume—hardly a risky assumption—that some of these differences among schools matter and that, as a result, many poor students learn less in school and end up less well prepared for college. If that is true, tests designed to estimate how well prepared students are for
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