Could anyone please explain me how we derive P (hat) = x/n approximately N(p,p(1-p)/n) formula for this question?
X ~ Bin(n, p). So, E(p_hat) = np/n = p & Var(p_hat)=np(1-p)/n^2=p(1-p)/n Invoking CLT, p_hat approx ~ N(p, p(1-p)/n)
