I said that I'm scared of getting shocked due to a faulty ground connection(maybe live wire is attatched to ground wire or something).
If you haven't got a socket you trust not to have wired live->ground, what are you going to plug your PC into? Because there the whole case could be 230V.
Assuming you have something plugged into a socket you can use, if that something works and hasn't electrocuted you yet, it seems reasonable to believe the plug is okay. Or use a multimeter to check your earth strap against a known ground before you wear it.
Either (a) this is a reasonable worry given the state of your electrics, in which case get your wiring checked by an electrician regardless, or (b) you're excessively worrying over nothing.
Or now I think about it, do you mean that you are worried that the fault is inside the wrist strap plug? In which case don't be, because the live/neutral prongs on that plug should be plastic, not metal, with no wiring at all.