3Categorical Data Analysis

a.) In our sample, race is represented by three categories (1=white, 2=black, 3=other). The US Census Bureau reports1 that in 2019, 76.3% of the US population were White, 13.4% were African American, and the rest were of other races. Using data from NHANS2, test whether the observed percentages for the race categorical variable are significantly different from expected percentages reported by the Census Bureau. Explain in detail which test you would use and what your conclusions are.

Variables Filter variables here \begin{tabular}{|l|l|} \hline | Name & Label \\ \hline sampl & unique case identifier \\ \hline strata & stratum identifier, 1-32 \\ psu & primary sampling unit, 1... \\ region & 1=NE,2=MW,3=S,4=W \\ \hline smsa & 1= SMSAcity, 2= SMSA C... \\ \hline location & stand number, 1-64 \\ houssiz & \# persons in household, ... \\ sex & 1= male, 2= female \\ race & 1= white, 2= black, 3=ot... \\ age & age in years \\ height & height (cm) \\ weight & weight (kg) \\ bpsystol & systolic blood pressure \\ bpdiast & diastolic blood pressure \\ tcresult & serum cholesterol (ma).. \end{tabular} Variables Variables Filter variables here lariables Filter variables here \begin{tabular}{|l|l|} \hline Name & Label \\ \hline hsiz5 & hsizgp ==5.0000 \\ \hline region1 & region == NE \\ region2 & region ==MW \\ region3 & region ==S \\ \hline region4 & region ==W \\ \hline smsa1 & smsa ==1.0000 \\ smsa2 & smsa ==2.0000 \\ smsa3 & smsa ==4.0000 \\ rural & 1= rural, 0= urban \\ loglead & log(lead) \\ agegrp & Age Group \\ highlead & 1 if lead >=25,0 other... \\ bmi & Body Mass Index (BMI) \\ highbp & 1 if bpsystol >= 140|bp... \end{tabular} Data Frame default Filename nhanes2.dta Label Notes Variables 58 Observations 10,351 Size 1.06M Memory 64M Sorted by Variables Filter variables here \begin{tabular}{|l|l|} \hline | Name & Label \\ \hline sampl & unique case identifier \\ \hline strata & stratum identifier, 1-32 \\ psu & primary sampling unit, 1... \\ region & 1=NE,2=MW,3=S,4=W \\ \hline smsa & 1= SMSAcity, 2= SMSA C... \\ \hline location & stand number, 1-64 \\ houssiz & \# persons in household, ... \\ sex & 1= male, 2= female \\ race & 1= white, 2= black, 3=ot... \\ age & age in years \\ height & height (cm) \\ weight & weight (kg) \\ bpsystol & systolic blood pressure \\ bpdiast & diastolic blood pressure \\ tcresult & serum cholesterol (ma).. \end{tabular} Variables Variables Filter variables here lariables Filter variables here \begin{tabular}{|l|l|} \hline Name & Label \\ \hline hsiz5 & hsizgp ==5.0000 \\ \hline region1 & region == NE \\ region2 & region ==MW \\ region3 & region ==S \\ \hline region4 & region ==W \\ \hline smsa1 & smsa ==1.0000 \\ smsa2 & smsa ==2.0000 \\ smsa3 & smsa ==4.0000 \\ rural & 1= rural, 0= urban \\ loglead & log(lead) \\ agegrp & Age Group \\ highlead & 1 if lead >=25,0 other... \\ bmi & Body Mass Index (BMI) \\ highbp & 1 if bpsystol >= 140|bp... \end{tabular} Data Frame default Filename nhanes2.dta Label Notes Variables 58 Observations 10,351 Size 1.06M Memory 64M Sorted by