It’s just semantics at the end of the day, so not too important, but I’ll play along because I happen to be someone who will call the U.S capitalist, but doesn’t understand why people call China communist.
First, I’ll start off with some definitions. If you disagree on one, provide your own and we can use those for the sake of discussion.
Capitalism is an economic system based on the private ownership of the means of production and their operation for profit.
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Socialism is an economic and political philosophy encompassing diverse economic and social systems characterized by social ownership of the means of production, as opposed to private ownership.
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Communism is a socioeconomic order centered around common ownership of the means of production, distribution, and exchange that allocates products to everyone in the society based on need. A communist society would entail the absence of private property, social classes, money and the state (or nation state).
So essentially the easiest way to determine if your society is capitalist or socialist is the existence of private property. If the society is devoid of private property, then the question remains what kind of socialism is it (is there money? Markets? Social classes? A state?).
China isn’t even socialist by this definition, but even if it was, it would still be miles away from communist.