Solve the Problem What Percentage of Those That Were Found to Be Lying

Multiple Choice

Solve the problem.
-The table below shows the result of a polygraph test conducted on 2000 college students. Students were asked whether they had ever cheated on a test. All of them denied having cheated. Use the
Table to answer the question. $$\begin{array} { l | c c c } & \begin{array} { c } \text { Test finds } \\\text { student lying }\end{array} & \begin{array} { c } \text { Test finds } \\\text { student truthful }\end{array} & \text { Total } \\\hline \text { Has cheated } & 82 & 12 & 94 \\\text { Has not cheated } & 200 & 1706 & 1906 \\\text { Total } & 282 & 1718 & 2000\end{array}$$ What percentage of those that were found to be lying were actually telling the truth?

A) 87.2%
B) 89.5%
C) 12.8%
D) 70.9%