20. Real Polygraph Test. The results in the table below are from experiments conducted by researchers Charles R. Honts (Boise State University) and Gordon H. Barland (Department of Defense Polygraph Institute). In each case, it was known whether the subject lied, so the table indicates when the polygraph test was correct. Polygraph test indicated that the subject lied. Polygraph test indicated that the subject did not lie. Did the subject actually lie? No 15 32 Yes 42 a. How many subjects did the test find to be lying? Of those, how many were actually lying and how many were telling the truth? What percentage of those who were found to be lying were not actually lying? BE How Number: b. How many subjects did the test find to be telling the truth? Of those, how many were actually telling the truth? What percentage of those who were found to be telling the truth were actually truthful? 21. Political Math. Suppose federal government spending for a popular housing program was $1 billion this year and Congress has proposed increasing spending for the program to $1.01 billion for next year. Assume that the Consumer Price Index is expected to rise by 3% over the next year. Those who support the program complain that the program is being cut. Those who oppose the program complain that the program is being increased. Explain each position.