Families of New York firefighters killed at the World Trade Center on Sept. 11, 2001, failed Tuesday to persuade the Supreme Court to allow them to go forward with a lawsuit against New York City and Motorola for supplying the rescuers with faulty radios.

The high court let stand a decision by a lower appellate court that dismissed the lawsuit, which had blamed the city and Motorola for supplying firefighters with handheld communications devices that prevented them from hearing evacuation orders while they were in the north tower trying to rescue people.