Which of the following is NOT a requirement for carrying a firearm?

Completing a background check is indeed a requirement for carrying a firearm in many jurisdictions, including Ohio. It is a critical step in ensuring that individuals eligible to possess firearms are not barred by laws due to various reasons, such as criminal history or mental health issues.

The other choices represent additional requirements associated with firearm ownership and carrying practices. Completing a firearms basic training program is often mandated to ensure that individuals possess the knowledge and skills necessary to handle firearms safely and responsibly. Similarly, receiving a certificate of satisfactory completion from such a program is typically required to demonstrate that the individual has met the training standards. Filing an application for registration can also be a part of the legal framework around firearm ownership in some areas, ensuring that firearm ownership is tracked and regulated.

Thus, while background checks are an essential component of firearm regulations, they are not the only requirement, which highlights why the correct answer reflects a misunderstanding of the existing laws regarding firearm carrying requirements.