The Obama administration announced a new attempted compromise with religious groups Friday in the ongoing dispute over the controversial “contraception mandate” in the health care law. Under the new proposed rules, faith-based nonprofit employers with religious objections would not have to cover free contraceptive services for their employees. Instead, the insurer or another third-party would provide the coverage at no cost to either the employee or the nonprofit. The new rules would widen the number of groups exempted from the mandate, although religious for-profits would still have to comply. Some religious groups said they were satisfied with the new rules, but others remained concerned. The US Catholic bishops said they are studying the proposal.