Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
to some value of ‘p’. In a practical setting, what you’d want to estimate is not a particular value of p but the probability of p (conditioned upon X_bar_n, and n) lying between two specified bounds p_low and p_high. In the language of Statistics, what you are seeking (and what Laplace sought) is