"So actually we didn't have any contacts with UFO organizations. It was all strictly government"

Betty Hill's quote suggests that the federal government was the only entity with which she and also her partner had get in touch with regarding their declared UFO experience. This suggests that the federal government was the only organization that recognized the event and was the only one to investigate it. This might indicate that the federal government was the only one with the resources and authority to investigate the incident, or that the federal government was the just one that the Hills felt comfortable sharing their story with. It might likewise suggest that the government was the only one that thought the Hills' story as well as agreed to take it seriously. Whatever the reason, it appears that the government was the only entity with which the Hills had get in touch with regarding their affirmed UFO experience.