Final answer:
Hawks insisted the U.S. should continue to fight in Vietnam, supported by figures like General William Westmoreland, and maintained support despite events like the Tet Offensive.
Step-by-step explanation:
Those who insisted that the United States stay and fight in Vietnam were generally known as hawks. They believed that American military force was necessary to achieve victory and that withdrawing would lead to a wider spread of communism, often referred to as the 'domino effect.' This group included political figures, military personnel like General William Westmoreland, and a significant portion of the American public. The Tet Offensive, while initially a shock, did not sway the hawks' belief in the necessity of the war; rather, some argued it exposed the brutality of the enemy and the need to support South Vietnam even more fervently.