Is China proof that Communism works?

I saw this question posted on a mostly American Right-wing Conservative Christian Republican web site. So I saw there side of the argument (To say some of them were angry at the poster is an understatement. .) and now I would like to get your side.

It isn't. It is capitalist and the only thing it is good at economically is raw economic growth. Working conditions, consumer goods quality, wages and social safety were far higher in the Warsaw Pact nations and in the USSR. You definitely wouldn't see sweatshops in say Communist era Czechoslovakia. I mention Czechoslovakia because that's where my father grew up (and I am Slovak and living in Slovakia now that Czechoslovakia doesn't exist anymore).

Many conservatives often say that Communism is a failed system because all states that have been considered Communist have fallen, first let's address the fact that not all Communist states have fallen, depending on how you look at it the People's Republic of China, the Lao People's Democratic Republic, the Socialist Republic of Vietnam, the Republic of Cuba, and the Democratic People's Republic of Korea are all examples of "Communist" states that are still well and alive. However this argument in itself is fairly flawed considering the fact that (Nearly) all states fail eventually, considering various factors. Also, you must consider the how much countries like the Soviet Union and the PRC have advanced from the terribly primitive Feudal states, so in that sense Communism HAS worked in advancing these societies culturally and economically. Like many people have said before me, China isn't really Communist anymore, it lost it's Revolutionary Zeal a long time ago and has fallen to the forces of Capitalism.

No, but right-wingers love China because they exploit workers in sweatshops and wish to implement these reforms in the West. In fact, they cite the Deng reforms as an indictment of communism and as a triumph in capitalism.