Were the jumper cables connected long enough to charge it? If not, you haven't proven anything.

Get the battery checked out. If you don't measure it properly, that won't be a goodsubstitute.

Do you have a multi-meter? If so, you can do a reasonable job of checking it out. But only if you make proper measurements & interpret them correctly. If you don't have a meter, then you'lljust beguessing.