Sure you are. God I hope you're lying.
peoples /pē′pəl/
Plural form of people
noun Humans considered as a group or in indefinite numbers. Often treated as a plural of person, especially in compounds. "People were dancing in the street. I met all sorts of people. This book is not intended for laypeople." The mass of ordinary persons; the populace. Used with the. **A body of persons **living in the same country under one national government; a nationality. The American Heritage® Dictionary of the English Language, 5th Edition • More at Wordnik
peoples plural of people (“a race, group or nationality”) The course studies the history of Africa and the peoples who lived there.
Are you sure about that? Cause it sounds like you've never spoken to a native English speaker about the terms here.
A group of persons with a commonality are a people. The individuals are persons within a group. You can say "a group of people", but that's different (like a sheep vs. a flock of sheep and also a distraction here). The group is a people. People is not a generic term for multiple persons, it's implicitly a group with some commonality. Nobody says "the American persons", it's "the American people". The "various peoples of North America" would refer to a plurality of various and distinct groups of persons.