If the ground is loose, you may be generating 'white' noise. You can test this by running an extension cord from an outlet on a different circuit than your VCR is on. (If in doubt, run one from your garage (if you have one). All devices are required to accept certain 'noise' (That little sticker on all electrical devices stating part 1 5 of the FCC code saying it may not generate noise and must accept any noise..Our gvm't hard at work there..) In the case of really cheap electronics, the filter caps are probably way cheap and allowing the noise through. More expensive devices use higher quality caps (Capacitors) and sometimes utilize IC chips to further filter ac
to produce a smooth supply of power. (Referred to as power 'conidtioning' in the computer biz ; )
You should consider this a fire hazard if its not properly grounded and most certainly it is as dangerous as any device not properly grounded. (Though most likely you'll just get a good jolt that would make you wish you were dead for a few seconds..) If your not electrically inclined, I would take it to a local electronics repair store to get that ground shored up no matter what the 'test' results.