Final answer:
The statement is false. The audit objective related to verifying that recorded transactions have occurred is the occurrence objective, not the completeness objective.
Step-by-step explanation:
The statement presented is false. The transaction-related audit objective that concerns whether recorded transactions have actually occurred is not the completeness objective, but rather the occurrence objective. The completeness objective, on the other hand, is concerned with ensuring that all transactions that should have been recorded are in fact recorded. The occurrence objective seeks to prevent the inclusion of transactions that did not take place, while the completeness objective aims to verify that all valid transactions are captured.