Final answer:
The statement is true; a prime attribute must be a member of some candidate key in the context of relational database design, as they contribute to the uniqueness of database records.
Step-by-step explanation:
The statement TRUEFALSE A prime attribute must be a member of some candidate key is actually TRUE. In the context of database design specifically relating to normalization and the structure of relational databases a prime attribute refers to an attribute that is part of any candidate key of a relation.
A candidate key is a set of attributes that uniquely identify a tuple (record) in a relation without referring to any subsidiary data. Therefore by definition a prime attribute is one that is involved in ensuring the uniqueness of database entries and is always a part of at least one candidate key.