HARTFORD — For the second year in a row, Connecticut’s largest business group and labor advocates are digging in for a fight in the Legislature over raising the minimum wage.

Connecticut Working Families is backing legislation that would increase the minimum wage from $8.25 an hour to $9 on July 1 and to $9.75 a year later. The legislation also calls for automatic raises in the minimum wage tied to increases in the consumer price index, the federal measure of inflation.