The answer depends largely on the probability of coming to an incorrect diagnosis or deciding on a wrong treatment, and the consequence of making that mistake.
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There is no direct relationship between degrees of freedom and probability values.
No. Rejecting the Null Hypothesis means that there is a high degree of probability that it is not correct. This degree of probability is the critical level that you choose for the test statistic. However, there is still a small probability that the null hypothesis was correct.
Subjective If you assume particular events will happen with a certain prior distribution, that is Bayesian probability.
Membership is Not the same as probability.v Probability describes the uncertainty of event occurrence .The probability is an uncertainty associated with time. vFuzziness describes event ambiguity , i.e., the degree to which an event occurs not whether it occurs
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