Question: A school district located in western Nassau County on Long Island, in New York State serves what hamlet with a population of 4,295 at the 2010 census?

full_context: Document 1: Dix Hills, New York: Dix Hills is a hamlet and census-designated place (CDP) on Long Island in the town of Huntington in Suffolk County, New York, United States. The population was 26,892 at the 2010 census.
Document 2: Henniker (CDP), New Hampshire: Henniker is a census-designated place (CDP) and the main village in the town of Henniker in Merrimack County, New Hampshire, United States. The population of the CDP was 1,747 at the 2010 census, out of 4,836 in the entire town of Henniker. The CDP is the home to New England College.
Document 3: Jericho, New York: Jericho is a hamlet and census-designated place (CDP) in Nassau County, New York on the North Shore of Long Island. As of the United States 2010 Census, the CDP population was 13,567. The area is served by the Jericho Union Free School District and the Syosset Central School District, the boundaries of which differ somewhat from those of the hamlet. The boundaries of the Jericho Post Office vary from both the hamlet and the school district boundaries, notably the inclusion of a portion of Jericho in the Westbury zip code, and the inclusion of a portion of Syosset in the Jericho zip code. Also, Jericho is located approximately 29 miles (47 km) east of Midtown Manhattan. Direct service is available by driving west on the Long Island Expressway or one can take the Long Island Rail Road from nearby Hicksville or Syosset train station.
Document 4: Sewanhaka Central High School District: The Sewanhaka Central High School District is a central high school district located in western Nassau County on Long Island, in New York State. The district is currently composed of five high schools: Sewanhaka High School, Elmont Memorial High School, New Hyde Park Memorial High School, Floral Park Memorial High School, and H. Frank Carey Junior-Senior High School.
Document 5: East Williston Union Free School District: The East Williston Union Free School District is a school district that serves all of East Williston and parts of Roslyn Heights, Albertson, Mineola, and Old Westbury in central Nassau County, New York.
Document 6: Herricks Union Free School District: The Herricks Union Free School District is a school district located in western Nassau County on Long Island, in New York State. The district lies within the Greater New Hyde Park area and serves a number of communities including Herricks, Garden City Park, Manhasset Hills, Searingtown, North Hills, Williston Park and Albertson.
Document 7: Hauppauge Union Free School District: Hauppauge Union Free School District is a school district based in Hauppauge, New York. It is near the Commack School District and Half Hollow Hills Central School District, as well as the Syosset Central School District and Jericho Union Free School District in Nassau County
Document 8: Nassau County, New York: Nassau County is a suburban county on the western side of Long Island in the U.S. state of New York. At the 2010 census, the county's population was 1,339,532, estimated to have increased to 1,361,500 in 2016. The county seat is in the Village of Garden City, within the boundaries of the Mineola 11501 zip code.
Document 9: Hewlett-Woodmere School District: The Hewlett-Woodmere Public School District, Union Free School District 14, is located in the southwest section of Nassau County, New York and borders the New York City borough of Queens. Communities in the district include, in full or in part, Hewlett, Woodmere, Woodsburgh, North Woodmere an unincorporated area of Valley Stream, the Gibson section of Valley Stream, Hewlett Harbor, Hewlett Neck, and Hewlett Bay Park, as well as parts of Lynbrook, all comprise the geographical boundaries for the school district. There are approximately 3,200 students enrolled in pre-K through 12th grade. The district is operated under the supervision of a seven-member Board of Education.
Document 10: Henniker, New Hampshire: Henniker is a town in Merrimack County, New Hampshire, United States. As of the 2010 census, the town had a total population of 4,836. Henniker is home to New England College, Ames State Forest, Craney Hill State Forest and Pats Peak Ski Area.
Document 11: Herricks, New York: Herricks is a hamlet and census-designated place (CDP) in Nassau County, New York, United States. The population was 4,295 at the 2010 census.
Document 12: Centereach, New York: Centereach is a hamlet and census-designated place in Suffolk County, New York, United States. The population was 31,578 at the 2010 census.
Document 13: Levittown, New York: Levittown, formerly Island Trees, is a hamlet and census-designated place (CDP) in the Town of Hempstead in Nassau County, New York on Long Island. It is located half way between the villages of Hempstead and Farmingdale. As of the 2010 census, the CDP had a total population of 51,881, making it the most populated CDP in Nassau County and the second most populated CDP on Long Island, behind only Brentwood.
Document 14: Holbrook, New York: Holbrook is a hamlet and census-designated place (CDP) in Suffolk County, New York, United States. The population was 27,195 at the 2010 census. The community borders on the east side of Long Island MacArthur Airport.
Document 15: Island Trees Union Free School District: Island Trees Union Free School District is a school district in central Nassau County on Long Island, approximately 31 miles east of New York City. The district includes parts of the following hamlets; Levittown, Bethpage and Seaford.
ground_truth: Herricks