nder 3030-4950 and over 7 31 1 93 1) Blood Pressure and Age The following table
ID: 3352887 • Letter: N
Question
nder 3030-4950 and over 7 31 1 93 1) Blood Pressure and Age The following table blood low 27 summarizes the blood pressure of a group of employees according to their age group. (De Veaux et al., 2014) a) How many employees 30 years or older were screened? pressurenormal 48 high 23 51 73 b) What percent of the people 50 or older had high blood pressure? Show the marginal distribution of age. Write your answer as counts AND percentages to two decimal places. c) Show the conditional distribution of age conditional for each blood pressure group. (you should have 3 small tables) Write your answer as counts AND percentages to two decimal places. d) Is there an association between age and blood pressure or are these variables independent? Justify your answer in a couple of sentences using evidence from conditional distributions e)Explanation / Answer
a)Number of employees screened equal or over 30 of age= 37+91+51+31+93+73unt
= 376
b)Percent of people 50 or older having high blood pressure
= people 50 or older having high blood pressure/ total people 50 or older *100
= 73/(31+93+73) * 100
= 37.06%
c)Marginal distribution of age
Total number of people =27+48+23+37+91+51+31+93+73 = 474
under 30: Count= 27+48+23 = 98
percent= 9800/474 = 20.68%
30-49: Count= 37+91+51 = 179
Percent= 17900/474 = 37.76%
50 or above: Count= 31+93+73= 197
Percent= 19700/474 = 41.56%
d)Conditional distribution
Low blood pressure/under 30 = 27 (count) = (27/98=0.28)(proportion)
Normal blood pressure/under 30 = 48 (count) = (48/98=0.49)(proportion)
High blood pressure/under 30 = 23 (count) = (23/98=0.23)(proportion)
Similarly, write other 6 combinations
e) Low blood pressure/under 30 = 27/98=0.28
Low blood pressue all age/ total count = (27+37+31)/474 = 0.20
As 0.28 is not equal to 0.20 these variables are not independent
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