The correct way NHST decisions should be formulated
Ronald Fisher had stated : The null hypothesis, H0, can never be proved true or false, when we regard * to prove * exactly as the definition : no way to be denied. Furthermore as we must let a value to the type I error, the decisions are * conditioned * by the value of alpha, the maximum value of p WE ASSUME compatible with H0 true.
If you had found that: Pvalue >= alpha, there is no sufficient evidence H0 is false Pvalue < alpha : H0 is likely/presumably false.
Dictionary (Mac Millan): presumably: use for saying you think something is true based on what you know, although you are not really certain.