There are many events such as Tet Offensive. Tet Offensive and how did it expose a “credibility gap” in the way the government was claiming the war was going by is that;
The Tet Offensive played an key role in weakening U.S. public support for the war in Vietnam. Through a successful attack on some key cities, were the force the United States force to negotiate or to withdraw.
Credibility gap is simply known as the lack of trust between two generations, people, government and people (as in the situation above) etc.
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