Suppose that, in a recent health survey, 800 randomly selected US adult citizens
ID: 3070906 • Letter: S
Question
Suppose that, in a recent health survey, 800 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 socioeconomik 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 (For the two multiple choice questions you have two attempts each) Fair Good Excellent Social Class Poor Poverty 24 32 26 0 Working 4 95 124 48 Middle 2 961 112 Upper 6 14 53 24 A) In this study the Social Class variable is: Select Consider that you randomly select one of these records from the 800 responses; use the results published in Table 1, above, to find the folowing probabites Note: You may answer in fraction (n/d) form. 1f you compute a decimal answer, use at least 3-decimal precision B) P(Poor Health) - C) P(Upper Class)- D) P(Poor Health Poverty Class) E) P(Poor Health Upper Class) . Does it appear that social class and health are dependent No, social class and health appear independent because the marginal probability of poor heath is roughly the same as the marginal probability of upper class No, social class and heaith appear independent because the marginal probability of poor heath is roughly equal to the conditional probablities of poor health given poverty or upper class No, social class and health appear independent because correlation does not imply causation Yes, social class and health appear dependent because the marginal probability of poor health is considerably different from the marginal probablity of poverty social class and health appear dependent because the margnal probability of poor hean, is considerably different from the cond tional probabites of poor health given poverty or upper class Yes, social class and heath appear dependent because the data sho-eghacant evence that health assessment determines your social class.Explanation / Answer
Answer:
A).Social class variable is categorical (nominal level of measurement).
social class
poor
fair
good
excellence
Total
poverty
24
32
26
0
82
working
48
95
124
48
315
middle
42
91
61
112
306
upper
6
14
53
24
97
Total
120
232
264
184
800
B). P( poor health) = 120/800 =0.150
C).P( upper class) = 97/800 =0.121
D). P(poor health/ poverty class) = 24/82 = 0.293
E). P(poor health/ upper class) = 6/97 = 0.062
Yes, social class and health appear dependent because marginal probability of poor health is considerably different from conditional probabilities of poor health given poverty or upper class.
social class
poor
fair
good
excellence
Total
poverty
24
32
26
0
82
working
48
95
124
48
315
middle
42
91
61
112
306
upper
6
14
53
24
97
Total
120
232
264
184
800
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