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

Question

In a recent health survey, 1200 randomly selected US adult citizens were asked a series of questions regarding their health and their financial status. 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 Social Class variable is: Qualitative & Nominal

Qualitative & Ordinal

Quantitative & Discrete

Quantitative & Continuous

Qualitative & Discrete

Qualitative & Continuous

Quantitative & Nominal

Quantitative & Ordinal

Qualitative and ordinal
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 & Excellent Health) =
G) P(Good or Excellent Health) =   
H) P(Middle Class | Good Health) =   

I) From the choices below, which of the events are mutually exclusive? Select all that apply.    [2 pts]
     Note choices are in the form 'Social Class / Health Assessment'

Low/Poor

Upper/Fair    

Low/Good

Working/Good

Upper/Good

Middle/Poor

Working/Excellent

Working/Fair

Working/Poor

Middle/Good

Upper/Poor

Upper/Excellent

Low/Excellent

Middle/Excellent

Middle/Fair

Low/Fair

Health Assessment Social Class Poor Fair Good Excellent Low 2 15 23 0 Working 68 75 294 89 Middle 45 41 115 227 Upper 5 1 144 56

Explanation / Answer

a)Qualitative & Nominal

b) P(Poor Health) =120/1200=0.1

c) P(Upper Class) = 206/1200

d)P(Poor Health|Low Class) = 2/40

e)P(Poor Health|Upper Class) =5/206

f)P(Working Class & Excellent Health) = 89/1200

g) P(Good or Excellent Health) = (576+227+45+41)/1200=889/1200

h) P(Middle Class | Good Health) =115/576

i)mutually exclusive =

Low/Excellent

Social Class Poor Fair Good Excellent total Low 2 15 23 0 40 Working 68 75 294 89 526 Middle 45 41 115 227 428 Upper 5 1 144 56 206 total 120 132 576 372 1200

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