In what fallacy does an argument rely on an irrelevant premise, such as linking a specific hair cutting service to overall quality of haircuts?

The argument that links a specific hair cutting service to the overall quality of haircuts demonstrates a non sequitur fallacy, as it presents a premise that does not logically follow from the conclusion. In this case, the claim implies that one particular service can serve as a strong indicator of the general quality of all haircuts, which is an irrelevant connection. The validity of the argument falters because the quality of haircuts is not solely determined by the reputation or performance of a single service. A non sequitur occurs when the evidence provided does not sufficiently support the conclusion drawn, making it a key characteristic of this type of fallacy.

This is an important distinction because it highlights the necessity for relevant premises that directly connect to and support the conclusion being argued.