$.$ As a hospital administrator of a large hospital, you are concerned with the absenteeism

among nurses' aides. The issue has been raised by registered nurses, who feel they often

have to perform work normally done by their aides. To get the facts, absenteeism data

were gathered for the past $3$ weeks, which is considered a representative period for future

conditions. After taking random samples of $64$ personnel files each day, the following data

were produced:Because your assessment of absenteeism is likely to come under careful scrutiny, you

would like a type I error of only $1$ percent. You want to be sure to identify any instances of

unusual absences$.$ If some are present, you will have to explore them on behalf of the

registered nurses.

a$.$ Design a $p-$chart.

b$.$ Based on your $p-$chart and the data from the past $3$ weeks, what can you conclude

about the absenteeism of nurses' aides?