Attica is the home of New York's Attica Correctional Facility, which was the location of the infamous Attica Prison riots that occurred on September 13, 1971.
According to the United States Census Bureau, the town has a total area of 93.3 km² (36.0 mi²). 92.5 km² (35.7 mi²) of it is land and 0.8 km² (0.3 mi²) of it is water. The total area is 0.83% water.
As of the census of 2000, there are 6,028 people, 1,497 households, and 1,053 families residing in the town. The population density is 65.2/km² (168.8/mi²). There are 1,603 housing units at an average density of 17.3/km² (44.9/mi²). The racial makeup of the town is 72.79% White, 21.07% African American, 0.33% Native American, 0.33% Asian, 0.00% Pacific Islander, 5.18% from other races, and 0.30% from two or more races. 9.16% of the population are Hispanic or Latino of any race.
There are 1,497 households out of which 33.9% have children under the age of 18 living with them, 56.5% are married couples living together, 10.2% have a female householder with no husband present, and 29.6% are non-families. 25.3% of all households are made up of individuals and 10.0% have someone living alone who is 65 years of age or older. The average household size is 2.58 and the average family size is 3.08.
In the town the population is spread out with 16.8% under the age of 18, 10.8% from 18 to 24, 44.2% from 25 to 44, 20.0% from 45 to 64, and 8.2% who are 65 years of age or older. The median age is 35 years. For every 100 females there are 209.4 males. For every 100 females age 18 and over, there are 240.6 males.
The median income for a household in the town is $44,877, and the median income for a family is $49,375. Males have a median income of $32,060 versus $22,220 for females. The per capita income for the town is $17,817. 6.3% of the population and 3.7% of families are below the poverty line. Out of the total people living in poverty, 5.8% are under the age of 18 and 5.6% are 65 or older.