In the Week $2$ lectures $($Graphical Summaries $3),$ there is an American

draft lottery case discussed. The lottery was conducted in $1970.$ Because of the issues that

were raised with the process used for the $1970$ draft, the process was changed in $1971.$

Note: The data for the $1971$ draft are available on our LEARN website in the Data Sets

content module for Written Assignment $1.$ The file is draft$71$yr$\_$dat.txt$.$ The variable

names are Day.number, Draft.number, and Month.

a$.[10]$ Repeat the analyses conducted in the lectures in order to examine whether the

selection in $1971$ could be considered random with respect to birth date. Include a $2$ by $2$

table $($with observed and expected counts$).$ Use a split of $<=183$ and $>183.$ You can draw

the table by hand if you like, or create a table in Word, LaTeX, or some other word

processing software. You also need to produce a partitioned scatterplot, and the side$-$byside boxplots, using R$,$ in your solution