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Question 434634: The following table shows deaths due to tuberculosis (TB) in two towns. Complete parts (a) through (c).
Town 1 Population TB Deaths
Whites: 4,656,000 8200
Nonwhites: 97,000 700
Total: 4,753,000 8900
Town 2 Population TB Deaths
Whites: 84,000 130
Nonwhites: 47,000 160
Total: 131,000 290
a. Compute the death rates for whites in Town 1. __% (Round to the nearest hundredth as needed).
Compute the death rates for nonwhites in Town 1. __% (Round to the nearest hundredth as needed).
Compute the death rates for all residents in Town 1. __% (Round to the nearest hundredth as needed).
b. Compute the death rates for whites in Town 2. ___% (Round to the nearest hundredth as needed).
Compute the death rates for nonwhites in Town 2. ___% (Round to the nearest hundredth as needed).
Compute the death rates for all residents in Town 2. ___% (Round to the nearest hundredth as needed).
c. Explain why this is an example of Simpson's paradox and explain how the paradox arises. Choose the correct answer below.
(a) The rates for both whites and nonwhites was higher in Town 1 than Town 2, yet, the overall rate was higher in Town 2 than in Town 1. The percentage of nonwhites was significantly lower in Town 2 than in Town 1.
(b) The rates for non whites was higher in Town 1 than in Town 2, yet, the overall rate was higher in Town 2 than in Town 1. The total number of people was significantly higher in Town 1 than in Town 2.
(c) The rates for whites was higher in Town 1 than in Town 2, as the rate for nonwhites was higher in Town 1 than in Town 2. The percentage of whites was significantly higher in Town 2 than in Town 1.
Answer by psbhowmick(878)   (Show Source):
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