Final answer:
The false statement is option b. The Dutch and the Swedes did not settle the East Coast until the early 1800s.
Step-by-step explanation:
The false statement in the introduction is statement b. The Dutch and the Swedes did not settle the East Coast until the early 1800s. This statement is incorrect because both the Dutch and the Swedes settled the East Coast of North America in the 17th century. The Dutch established the colony of New Netherland in the early 1600s, which included areas such as New York, while the Swedes established the colony of New Sweden in the mid-1600s, which included present-day Delaware and parts of Pennsylvania and New Jersey.