Under what conditions might a hypothesis be accepted?

An hypothesis is an untested theory or conjecture, so when a hypothesis is tested and passes the test it becomes a proven theory, or possibly a law or reason or explanation. Until then it is an as-yet-unproven possibility or probability. Just make certain that the facts are not twisted to 'prove' the hypothesis, and the results are confirmed by other experiments and experimenters. It is even better if it becomes accepted by those who didn't agree with the idea in the first place, but that is not always possible!

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However, a theory is not born from one tested hypothesis, but many. A theory is the result of multiple hypotheses that are said to be true through multiple experiments. Also, a theory may never be actually proven, but merely accepted as the most reasonable explanation. Since science is constantly changing, theories are constantly being formulated to explain things about ourselves or our surroundings.