In a recent health survey, 1000 randomly selected US adult citizens were asked a

Question

In a recent health survey, 1000 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: Consider that you randomly select one of these records from the 1000 responses; use the results published in Table 1, above, to find the following probabilities 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) =

Explanation / Answer

A) Health assessment variable is qualitative.

B) P(Poor health) = 110/1000 = 0.11

C) P(Upper Class) = 160/1000 = 0.16

D) P(Poor Health | Low class) = 3/19

E) P(Poor Health | Upper class) = 8/160 = 0.05

F) P(Working class and Excellent health) = 110/1000 = 0.11

G) P(Good or Excellent Health) = (340 + 440)/1000 = 780/1000 = 0.78

H) P(Middle Class | Good Health) = 82/340 = 41/170

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