Your hypothesis is supported by the data. You cannot prove a hypothesis because somebody may do some other experiments and disprove it eventually. You can only disprove a hypothesis or indicate that it is supported by the data.
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No, that is not the correct definition.
You act and experiment according to your hypothesis and write observations.
No. The null hypothesis is assumed to be correct unless there is sufficient evidence from the sample and the given criteria (significance level) to reject it.
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True because the point of the hypothesis test is to figure out the probability of the null hypothesis being true or false. If it is tested and it is true, then you do not reject but you reject it, when it is false.