JERSEY CITY, N.J. -- An engaged couple returning to their northern New Jersey home early Sunday were fatally shot in what authorities believe was a botched carjacking.

Hudson County Prosecutor Edward DeFazio said 27-year-old Michael Muchioki and his 25-year-old girlfriend, Nia Haqq, were both shot twice in the head. They were found near their car, which was not taken.

The couple had attended a party in New Brunswick and returned to their Jersey City home around 3 a.m., DeFazio said.

As they parked their car, they were approached by a man and two women, who later fled the scene in another vehicle.

DeFazio said that based on the crime scene and witness statements, it appears the victims were shot during an unsuccessful carjacking. Authorities believe their car could not be taken because it had anti-theft device.