This time, let’s fix the confidence level at 95%, but consider three different sample sizes for \(n\): 25, 50, and 100. Specifically, we’ll first take 10 different random samples of size 25, 10 different random samples of size 50, and 10 different random samples of size 100. We’ll then construct 95% percentile-based confidence intervals for each sample. Finally, we’ll compare the widths of these intervals. We visualize the resulting 30 confidence intervals in Figure 8.30. Note also the vertical line marking the true value of \(p\) = 0.375.