QUINCY — A proposal by Quincy Medical Center to restore its obstetric services after a 14-year hiatus drew community backing Wednesday, despite opposition from competing hospitals that already deliver ­babies for residents of the city and neighboring towns.

During a state Department of Public Health hearing, about 20 people voiced support for the plan by the Quincy hospital, purchased last year by for-profit Steward Health Care System. The hearing was triggered by a request from 10 taxpayers representing Tufts Medical Center of ­Boston, which serves many Asian ­immigrants and others from the Quincy area.