Final answer:
The false statement is that Ancient Maya culture was lost entirely with its collapse. In reality, although the Classic Maya civilization declined, the culture persisted and has left a lasting legacy, including deciphered written texts and stone tools made of obsidian.
Step-by-step explanation:
The statement that is false is: Ancient Maya culture was lost entirely with its collapse. While it is true that the Classic Maya civilization experienced a significant decline around the ninth century CE, the Maya culture was not entirely lost. Trade with neighboring societies was indeed a factor in the life of the Maya and not responsible for their collapse as evidenced by their trading networks across Central America. The Maya homeland, indeed a seasonal tropical rainforest, did have risks of droughts and hurricanes. Further, the ancient Maya did leave extensive deciphered written texts, which have been read and interpreted by scholars. Lastly, the statement that the Maya made stone tools out of obsidian is true as they traded and skillfully worked with obsidian for various tools and weapons.