Final answer:
The claim that the Mariner in Coleridge's poem killed the albatross due to hunger is false; his action is depicted as senseless and results in a curse.
Step-by-step explanation:
The statement that the narrating sailor in Coleridge's The Rime of the Ancient Mariner says he killed the albatross because he was hungry and game is scarce in the Antarctic regions is false. The Mariner actually kills the albatross with no clear explanation, which leads to dire consequences for him and his fellow sailors. The killing is seen as a senseless act against nature and brings about a curse upon the ship and its crew.