Solve for the endpoints of the approximate binomial confidence interval, with continuity correction, given in Example 10.4.6. Show that this interval is wider than the corresponding interval without continuity correction, and that the continuity corrected interval has a uniformly higher coverage probability. (In fact, the coverage probability of the uncorrected interval does not maintain 1 - α; it dips below this level for some parameter values. The corrected interval does maintain a coverage probability greater than 1 - α for all parameter values.)