Presume that from a sample of size n = 400 you get Y = 144 successes. Determine 95% two-sided confidence intervals for the actual p using all three of the methods above. Note that for each you will utilize \(z_{\alpha/2} = z_{0.025} = 1.960\) and \(\tilde{p} = \frac{144}{400} = 0.36\text{.}\)