The poll has a margin of error of 3.5 percentage points and was conducted June 5-9, 2013 of a representative nationwide sample of Americans.
One sad point in the poll is that even though Americans are moving strongly in favor of supporting equal marriage rights for same-sex couples, they are moving away from equal opportunity for racial and ethnic minorities in higher education. Only 22 percent of Americans in this same poll said that colleges should be allowed to consider race as a factor in college admissions.
Frankly, I think Americans do not really understand how college admissions works, and think that colleges will go around admitting "unqualified minority kids" instead of qualified white (and Asian) kids. The Supreme Court is currently considering a case from Texas, called Fisher v University of Texas where race is just a factor in admissions and may use that case to ban the practice in admission practices by public (and possibly private?) colleges and universities. There is a wide range of "qualified" students who can do well in college and just because racial and ethnic minority students may have lower test scores on average does not mean that they are less qualified to succeed in college. There is a lot of research which shows that standardized test scores are more strongly correlated with a student's family income than their graduation rate in college.
The bizarre case about Fisher is that in Texas they switched to a race-blind policy of just selecting the top fraction of all high-school students in Texas and that alone made the University of Texas pool more diverse. When, the Supreme Court did not disallow the use of race in admission in the Grutter case a few years ago Texas abandoned its race-neutral scheme and started using race. They did not substantially enhance the racial and ethnic diversity of the colleges and university. So, even if the Supreme Court strikes down the University of Texas's current admission scheme they can always go back to the pre-Grutter scheme.
Anyway, along with the two Gaytterdämmerung cases in Windsor and Hollingsworth v Perry, how the Supreme Court rules in the two race-related cases of Fisher and Shelby County v. Holder will be something I will be looking forward to, and there are only 4 more days on which that will happen: Monday June 17, Thursday June 20, Monday June 24 and Thursday June 27.
Hat/tip to LGBT Think Progress