What statement is not true about the success of the Jamestown colony?

A statement that is not true about the success of the Jamestown colony is that it was immediately prosperous and self-sustaining upon its establishment in 1607. In reality, Jamestown faced significant challenges, including famine, disease, and conflicts with Indigenous peoples, leading to a near-collapse in its early years. It wasn't until the introduction of tobacco cultivation and strong leadership, such as that from John Smith and later John Rolfe, that the colony began to find economic stability.