To further accentuate our point about confidence levels, let’s generate a figure similar to Figure 8.27, but this time constructing 80% standard-error method based confidence intervals instead. Let’s visualize the results in Figure 8.28 with the scale on the x-axis being the same as in Figure 8.27 to make comparison easy. Furthermore, since all standard-error method confidence intervals for \(p\) are centered at their respective point estimates \(\widehat{p}\), we mark this value on each line with dots.