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In a recent health survey, 1200 randomly selected US adult citizens were asked a

ID: 3221326 • Letter: I

Question

In a recent health survey, 1200 randomly selected US adult citizens were asked a series of questions regarding their health (poor, fair, good, excellent) and their financial status (low, working, middle, upper). The answers provided by the respondents allow the investigators to categorize each one into a health level and a socioeconomic class. A contingency table summarizing the results of this survey is provided below.
Assume that this is a representative sample of US adults and that the answers provided were truthful.


A) In this study the Health Assessment variable is:    ---Select--- Quantitative Qualitative Continuous An extreme outlier
Consider that you randomly select one of these records from the 1200 responses; use the results published in Table 1, above, to find the following probabilities
Note: You may answer in fraction (n/d) form. If you compute a decimal answer, use at least 3-decimal precision

B) P(Poor Health) =     
C) P(Upper Class) =      
D) P(Poor Health|Low Class) =      
E) P(Poor Health|Upper Class) =      
F) P(Working Class and Excellent Health) =      
G) P(Good or Excellent Health) =      
H) P(Middle Class | Good Health) =

Poor Fair Good Excellent Total Low 6 16 14 0 36 Working 50 124 212 158 544 Middle 47 52 86 296 481 Upper 5 12 48 74 139 Total 108 204 360 528 1200

Explanation / Answer

B) P(Poor Health) = 108/1200 = 9/100

C) P(Upper Class) = 139/1200

D) P(Poor Health|Low Class) = 6/36 = 1/6

E) P(Poor Health|Upper Class) = 5/139

F) P(Working Class and Excellent Health) = 158/1200 = 79/600

G) P(Good or Excellent Health) = (360+528)/1200 = 37/50

H) P(Middle Class | Good Health) = 86/360 = 43/180

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