This fallacy is a fallacy of relevance and is committed when an argument is made but the conclusion drawn is not supported by the premises. The premises of the argument may well be true but they do not support the conclusion.
It is frequently used by people who want to prove something but who don't have a sound argument to back up their case. They simply use valid premises and draw a false conclusion to back up their claim. It is frequently used in politics.
Examples:
This fallacy can be difficult to spot, especially when used in speeches. It is quite common, and is used where people want to prove their point or persuade others although they don't actually have a sound argument.
It can be convincing as the premises of the argument are usually true. If closely examined, however, the false conclusion can be spotted.