The issue is complex for the minority advocates, especially given that obesity rates are higher than average among blacks and Hispanics, according to the federal Centers for Disease Control and Prevention. The groups say in court papers they’re concerned about the discrepancy, but the soda rule will unduly harm minority businesses and “freedom of choice in low-income communities.”…

The NAACP and the Hispanic Federation, a network of 100 northeastern groups, say minority-owned delis and corner stores will end up at a disadvantage compared to grocery chains.

“This sweeping regulation will no doubt burden and disproportionally impact minority-owned businesses at a time when these businesses can least afford it,” they said in court papers. They say the city should focus instead on increasing physical education in schools.