The most accurate inference about China's Ming Dynasty tribute system is: By persuading other countries to pay tribute, China demonstrated that it was a powerful country that others should respect.
This statement reflects the purpose of the tribute system, which was to establish and reinforce China's dominance and influence over other countries in the region, as well as to promote diplomatic and trade relationships. The other statements either mischaracterize the nature of the tribute system or inaccurately represent its scope and effectiveness.