Using hq$\_2021$ data, a researcher performed a chi$-$square test to examine how loneliness is associated with health status. The researcher decided to categorize health status and loneliness status in to two groups. Based on the output below, provide a rationale for this decision$\mathrm{.}19$Variable dictionary: Health status: $1=$Excellent, $2=$Good, $3=$Fair, $4=$PoorLonely: $0=$rare or never, $1=$Some of the time, $2=$Occasionally, $3=$All of the timeLab $8$ Assignment$3)$ The researcher grouped loneliness to feeling lonely $($Lonely$=2$ and $3)$ and not feeling lonely $($Lonely$=0$ and $1).$ Health status was grouped as poor health $($Health$\_$status$=3$ and $4)$ and good health $($Health$\_$status$=1$ and $2).$ Perform the chi$-$square test using the categorized variables to examine if there is an association between loneliness and health status. $20$Include the following:a$)$ All R coding used $($hint: you need to categorize variables$)$b$)$ Null and alternative hypothesesc$)$ Check and comment on all the relevant assumptions$/$requirements for this test? Provide allappropriate values$/$statistics to support your decision for each relevant assumption check.d$)$ Report test statistic, and p$-$value clearly writtene$)$ Use p$-$value to make your conclusion and provide the final conclusionin a written statementVariable dictionary: Health status: $1=$Excellent, $2=$Good, $3=$Fair, $4=$PoorLonely: $0=$rare or never, $1=$Some of the time, $2=$Occasionally, $3=$All ofthe time$1920$