A statement establishing that a person’s guilt of all elements of a crime is referred to as a ____________.

A statement establishing that a person's guilt of all elements of a crime is best referred to as a confession. A confession is a formal acknowledgment by an individual that they have committed a crime, which inherently includes an admission of guilt regarding each element of the offense. Confessions are critical in the legal context as they can provide insight into the perpetrator's motivations, actions, and intent, thus contributing to the prosecution's case.

In contrast, an affidavit is a written statement made under oath, often used as evidence in court but not necessarily admitting guilt. An assertion is a claim that does not necessarily bear the same weight of truth or acknowledgment of guilt as a confession. An admission, while it can imply recognition of some facts related to the crime, does not always encompass a full acknowledgment of guilt regarding all elements of the crime, making it distinct from a confession. Therefore, in the context of legal terminology, a confession captures the comprehensive acknowledgment involved when a suspect admits to all components of a crime.