The first thing to check are the connections of the speaker wire, but you seem to have done that.
In most cases, with one channel cutting out intermittently, the problem is not in the speaker itself. You can test this by switching your right speaker for your left speaker and playing it that way. If the problem does not switch sides, you will know it isn't the speaker.
Another question is, does the problem occur with all of your sources (radio, CD, whatever), or does it only occur with one source? If it occurs only with one source, the problem likely is that source (or its connection), but if the problem occurs with all sources, then you are looking at something wrong with your Fisher CA-283 amplifier.
Now, if you are not a "handy" sort of person, and are uncomfortable doing anything inside the amplifier, then don't. In such a case, you will either need to have it repaired, or simply replace it.