An Undergraduate Business Student Studies Diligently in the Library During

Essay

An undergraduate business student studies diligently in the library during dead week in anticipation of an outstanding performance on her final exams.She asks a friend to spy on her at random intervals to determine what percentage of time she is actually studying.Over the course of three days,her friend records the following observations:
$$\begin{array} { | l | c | c | c | } \hline \begin{array} { c } \text { Observation } \\\text { Period }\end{array} & \begin{array} { c } \text { Times } \\\text { Studying }\end{array} & \begin{array} { c } \text { Times Not } \\\text { Studying }\end{array} & \text { Observations } \\\hline \text { Monday } & 20 & 3 & 23 \\\text { Tuesday } & 21 & 4 & 25 \\\text { Wednesday } & 10 & 1 & 11 \\\text { Total } & 51 & 8 & 59 \\\hline\end{array}$$
If the student wants a 95 percent confidence level and a degree of precision of ± 0.08,how many more observations are needed?