Table 5.5 shows a small set of predictive model validation results for a classification model with both actual values and propensities

Table 5.5
Propensity	Actual
0.03	0
0.52	0
0.38	0
0.82	1
0.33	0
0.42	0
0.55	1
0.59	0
0.09	0
0.21	0
0.43	0
0.04	0
0.08	0
0.13	0
0.01	0
0.79	1
0.42	0
0.29	0
0.08	0
0.02	0

a. Calculate error rates, sensitivity and specificity using cutoff of 0.25, 0.5, and 0.75.

b) Using a cutoff of 0.5, create a decile lift chart. First create a table where column 1 is the decile and column 2 is the lift ratio for each decile. Then, use a bar chart to plot the decile lift chart using the two columns of the table.