Final answer:
In 'The Open Boat,' the naval officer mistakenly compares the boys' experience to the book 'The Two Sons' to describe their situation. The comparison reflects the officer's belief that their situation is similar to the experiences depicted in the book.
Step-by-step explanation:
The book that the naval officer mistakenly compares the boys' experience to in 'The Open Boat' is the book 'The Two Sons,' and the comparison provides insight into the mental state of the officer. The officer's comparison between a ship lost in the fog and the boys' experience reflects his belief that their situation is similar to the experiences depicted in the book.