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Source: 4 die, 40 held hostage in Binghamton shootings
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The source said more than a dozen were wounded.
The man began shooting in the American Civic Association, which helps immigrants and refugees, during a citizenship test, the source said.
The source said there may be 20 to 40 people who have been taken hostage.
The local newspaper, the Press & Sun-Bulletin, said on its Web site that at least four people were shot and 41 people had been taken hostage.
It said sharpshooters from the city's SWAT team were poised outside the building.
Video from the scene showed a person on a stretcher being taken to an ambulance.
FBI spokesman Richard Kolko said the FBI is sending hostage negotiators and an evidence response team to the scene. The agency has an office in Binghamton, and agents are being sent from offices in Albany and Syracuse as well.
The newspaper said the incident began around 10:30 a.m. ET. Nearby apartments were being evacuated and Binghamton High School is on lockdown, it said.
"Within minutes [the situation] turned into one just flooded with police," Bob Joseph, news director of WNBF Radio, told CNN.
The American Civic Association helps immigrants and refugees with a number of issues, including personal counseling, resettlement, citizenship and reunification, and provides interpreters and translators, according to a United Way of Broome County Web site, which is affiliated with the association.