Separation of church and state in the United States

In 1962, the Supreme Court addressed the issue of officially sponsored prayer or religious recitations in public schools. In Engel v. Vitale, 370 U.S. 421 (1962), the Court, by a vote of 6-1, determined it unconstitutional for state officials to compose an official school prayer and require its recitation in public schools, even when the prayer is non-denominational and students may excuse themselves from participation. (The prayer required by the New York State Board of Regents prior to the Court's decision consisted of: ``Almighty God, we acknowledge our dependence upon Thee, and we beg Thy blessings upon us, our parents, our teachers, and our country. Amen.'') As the Court stated:

Question: does separation of church and state apply to public schools
Answer: yes