US President Barack Obama smiles as he answers questions during a joint press conference at Seri Perdana in Malaysia's administrative capital of Putrajaya on April 27, 2014. Obama paid homage to Malaysia's moderate brand of Islam and picked his way through his hosts' contentious politics on April 27 on the latest leg of his Asian tour. AFP PHOTO / MOHD RASFAN (Photo credit should read MOHD RASFAN/AFP/Getty Images)

A new survey confirms that Obamacare is most helping some of the very people it was designed to help: blacks, Hispanics and low-income Americans.

The uninsured rate among blacks has tumbled 6.2 percentage points so far this year, according to a new Gallup poll, based on telephone interviews with 30,430 American adults from April 1 to May 31. The Hispanic uninsured rate fell 5.6 percentage points between the end of the year and the time of the survey. In contrast, the white uninsured rate fell 3 points.

The uninsured rate is still higher for blacks and Hispanics than for whites. Even after the rollout of President Barack Obama's health-care reform law and Obamacare's first open-enrollment period, 14.7 percent of blacks and 33.1 percent of Hispanics remain uninsured. Nationally, that rate is 13.4 percent, according to Gallup, down from 17.1 percent at the end of last year.

Another notable drop was seen in the uninsured rate for households earning less than $36,000 annually. That percentage fell to 24.7 percent, down 6 points from the end of 2013 -- but still much higher than the national rate.

Blacks and Hispanics were a specific target of the Obama administration in its rollout of the health-care law, given their relatively low insurance rates. But amid the fumbled rollout of healthcare.gov, the launch of Obamacare's Spanish-language website was particularly messy. The site's launch was delayed by two months. When it finally opened for business, it was criticized for being "written in Spanglish."