I think the map is correct!!
"According to a Fiscal Policy Institute analysis of 2000 to 2006 data, there are 374,000 illegal immigrant workers in New York City, which makes up 10 percent of the resident workforce [SUP][3][/SUP].. With 374,000 out of 535,000 illegal immigrants working in New York City, illegal immigrants have a labor force participation rate of roughly 70 percent. This percentage is higher than the labor force participation rate for native-born residents, 60 percent, or for overall foreign-born residents, 64 percent, in New York City [SUP][3][/SUP].
Illegal immigrants can be found working in almost every industry in New York City performing a wide variety of tasks. More than half of all dishwashers in the city are illegal immigrants, as are a third of all sewing machine operators, painters, cooks, construction laborers, and food preparation workers. Illegal immigrants also make up close to 30 percent of the city’s automotive service technicians & mechanics, waiters & waitresses, maids & housekeeping cleaners, and carpenters. The five occupations with the most illegal immigrant workers in New York City are cooks (21,000), janitors & building cleaners (19,000), construction laborers (17,000), maids & housekeeping cleaners (16,000), and waiters & waitresses (15,000)."
According to the Chronicle of Higher Education, the State University of New York system does not keep track of whether a foreign student is in the country legally or illegally. Consequentially, the City University of New York hosts about 2,000 illegal immigrant students [SUP][2][/SUP].
These illegal immigrant students, however, cost the city’s legal residents billions of dollars according to the Federation for American Immigration Reform (FAIR), an organization that favors tougher immigration enforcement. According to FAIR, Illegal immigrants in K-12 public schools cost New York taxpayers $1.5 billion per year. Furthermore, the U.S. citizen children of illegal immigrants cost the taxpayers an additional $2.8 billion per year. When these two numbers are combined, the total cost of educating illegal immigrants and children of illegal immigrants in K-12 public schools is more than $4.3 billion annually for the state’s taxpayers. Furthermore, the state’s admission of illegal immigrants into the state’s public universities and community colleges at taxpayer subsidized in-state tuition rates costs the city and state’s taxpayers an additional $29–38 million per year [SUP][2][/SUP].
http://en.wikipedia.org/wiki/Illegal_immigration_to_New_York_City