ALBANY, N.Y. (AP) â¿¿ Labor officials say New York's unemployment rate in January was the same as a year earlier, even as 29,600 private sector jobs were added during the month. That brought the total number of jobs created during the 12 months starting January 2012 to 102,600, about 33,000 of those in professional and business services. Counting the elimination of 11,800 government positions, there were 90,800 new jobs in the state over that time, a 1.1 percent increase compared to a 1.6 percent pace nationally. The federal statistics released Thursday show the statewide unemployment rate was unchanged from a year earlier at 8.4 percent, up from 8.2 percent in December. The New York City rate improved to 9.1 percent from 9.4 percent, but up from 8.8 in December. The national rate was 7.9 percent, compared to 8.3 percent last year.