PAGE, Ariz. (AP) — Authorities say a small plane crashed over the weekend into a lake that straddles the Arizona-Utah state line, killing two people and leaving five injured. Federal Aviation Administration officials said Monday that the pilot reported an engine problem late Saturday afternoon before the single-engine Cessna 207 went down in Lake Powell National Park. The plane with seven people aboard reportedly was submerged in the lake after the crash. FAA officials say three of the people who were hurt suffered serious injuries and two had minor injuries. The FAA says the National Transportation Board is leading the investigation into the cause of the crash.