Question

16. In 1940, a statistician at the Bureau of the Census was interested in comparing the death rate in Maine to the death rate in South Carolina. The table below contains some relevant data from 1930 [17] Maine South Carolina Age Population Deaths Population Deaths 75,037 79,727 74,061 68,683 60,575 105,723 101,192 90,346 72,478 46,614 22,396 4905 446 0-4 5-9 10-14 15-19 20-24 25-34 35-44 45-54 55-64 65-74 75+ 1543 148 104 153 224 413 552 980 1476 2433 3056 205,076 240,750 222,808 211,345 166,354 219,327 191,349 143,509 80,491 40,441 16,723 901 1073 1910 2377 2862 2667 2486 2364 Total 796,832 11,082 1,738,173 22,401 The age-specific population sizes and numbers of deaths for each state are saved under the variable names popn and deaths in the data set dthrate (Appendix B,Table B.8). Identifiers of state and age group are saved under the variable names state and age respectively. (a) What are the crude mortality rates in Maine and in South Carolina in 1930? (b) Do these two states differ with respect to age composition? Explain (c) Compute the age-specific mortality rates for each state. (d) Do you believe that it is necessary to control for the effect of age when com paring mortality rates for these two states? Why or why not? (e) Displayed below are the relative frequencies by age group for the entire United States population in 1940. These percentages are saved under the variable name popn in the data set us1940 (Appendix B, Table B.8b) Age Percent 0-4 5-9 10-14 15-19 20-24 25-34 35-44 45-54 55-64 65-74 75+ 8.01 8.11 8.92 9.37 8.80 16.21 13.92 11.78 8.03 4.84 2.01 Total 100.00 Using the U.S. population as the standard, apply the direct method of standard- ization. What are the age-adjusted death rates for Maine and South Carolina? Plot the age-specific mortality rates versus age for each of the two states. Based on this graph, was it appropriate to standardize for age using the direct method? (f)

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Answer #1

b.

Yes, these two states differ with respect to age composition as depicted in the chart below:

Comparison with respect to age composition 300000 200000 150000 Maine South Carolina 50000 0 to 4 5 to 9 10 to 14 15 to 19 20

c;

Maine South Carolina Age Population Deaths Age SpecificMortality Rate Population Deaths g Secific Mortality Rate 0 to 4 5 to

otes So stotes mor tol. as the Populatbs hove aevent oe asribution 4hss Case

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