The Null Hypothesis "statistically" Significance Testing (NHST), in which the P-value serves as the index of “statistically significant,” is the most widely used [misinterpreted and abused] statistical method in psychology (Sterling et al., 1995; Cumming et al., 2007).
Rresearchers overstating conclusions beyond what the data would support and "careful fixing cheats if statistically significant", is quite common! However, a good reviewer (and experienced in same field/subject) would notice tht! Why? Increasing bait_like activities of predatory journals and a widespread lack of methodological sophistication, with researchers using poorly designed experiments with small sample sizes and inappropriate statistical models (Gelman and Carlin, 2014).
In the Neyman–Pearson framework optimally (which may not be possible in some instances) setting α and β assures long-term decision-making efficiency in light of our costs and benefits by committing Type I and Type II errors... this is frequestist approach, would bayesian approach make a difference where trial or studies repetition are limited/not possible? Perhabs, a prior calculations and report of the probability of replication to complement NHST! .