show me the step by step solution. Analyze Sample Data First, we calculate the sample proportion (p) as the number of repeat offenders (58) divided by the total sample size (113), which equals 0.5132. Then, we calculate the standard error (SE) using the formula SE = sqrt[ p(1 - p) / n ], where p is the population proportion (0.57), and n is the sample size (113). This gives us SE = sqrt[ 0.57 * (1 - 0.57) / 113 ] = 0.047. Next, we calculate the z-score using the formula z = (p - p) / SE. Plugging in the values gives z = (0.5132 - 0.57) / 0.047 = -1.21