Yes, they certainly do. A controlled economy doesn't necessary equal public ownership. China is a degenerated workers' state, i.e. they practice state capitalism. On the other hand, "free market" is an oxymoron, because "free markets" create oligarchies which eventually seize control of the economy. This is one of the many inherent contradictions of capitalism.The government of china regulates everything. Down to who can do business in China.
@Swords: I was born into a Muslim family and yes, I still live in Turkey.
@Raymond: I know... religious fundamentalists need each other to survive, since they benefit from an atmosphere of mutual paranoia. Occasionally they can also team up against a common enemy, like godless communists. This is what happened in many Muslim countries: the USA supported militant Islamist groups to prevent socialists from rising to power.