Final Answer:
The fallacy that involves offering evidence such as "everybody knows" is (3) Bandwagon Fallacy.
Step-by-step explanation:
The Bandwagon Fallacy occurs when someone argues for a proposition based on the claim that a majority of people accept it or believe in it. In this case, using the phrase "everybody knows" suggests an appeal to the popularity of a belief rather than providing substantive evidence or reasoning. The Bandwagon Fallacy assumes that something must be true or good simply because many people believe or support it, which is a logical error in argumentation.
This fallacy can be observed in situations where the persuader attempts to sway others by asserting that a particular belief or action is widely accepted, without presenting valid evidence or reasoning. It relies on the idea that if "everybody knows" or believes something, then it must be true, which is not a sound logical basis for an argument.
In conclusion, the Bandwagon Fallacy involves relying on the popularity or common belief in a proposition as evidence for its truthfulness. Choosing option (3) correctly identifies this fallacious reasoning, as the phrase "everybody knows" aligns with the bandwagon approach of using widespread acceptance as a substitute for valid evidence or reasoning.