For a country with stature like the United States, there is no need to fake something like that. It was the cold war, saving face was more important than anything. They wouldn't have risked making an ass of themselves by faking it. If it was unfolded, it would be the biggest screw up in history.
There was simply no point in doing it.
Plus a lot of technologies we use in our current daily lives were developed during the Apollo program. If it was just a hoax, then there wouldn't be needs for these technologies to be developed.
We're drifting off topic now.
The thread is about Chinese space program, not on whether the apollo program was a hoax.