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To find the Florida mortality rate from adjusted data and compare it with mortality rate for the United States.
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Explanation of Solution
Given:
Age | ||||
0-24 | 25-64 | 65 and older | Total | |
Florida deaths | 3625 | 39820 | 129395 | 172840 |
Florida population | 5716861 | 9842031 | 3375303 | 18934195 |
U.S. deaths | 63208 | 619982 | 1832268 | 2515458 |
U.S. population | 103542603 | 163960163 | 45296729 | 312799495 |
Total | 109326297 | 174461996 | 50633695 | 334421988 |
Now, first need to calculate the U.S. population distribution for the age groups:
For age group 0-24:
U.S. population proportion for group 0-24:
Using above formula, we can find U.S. population proportion for age group 24-64
= 54.41%
U.S. population proportion for age group 64 and older
= 14.48%
Now, we can find the population distribution of Florida with respect to the population distribution for different age groups of U.S.:
For age group 0-24:
Population for age group 24-64 for Florida: 9924740
Population for age group 64 and older for Florida:2741875
Now, we will compute the mortality rate for Florida with respect to the U.S. age group.
By using same formula, we can calculate,
Florida mortality rate for age 24-64=4.0
Florida mortality rate for age 64 and older=38.3
Now, we will calculate the number of deaths in Florida with respect to the new population distribution using the mortality rate.
Using same formula,
New number of deaths in 24-64 age group=40155
New number of deaths in 64 and older age group=105112
Therefore, new calculated data is,
Age | ||||
0-24 | 25-64 | 65 and older | Total | |
Florida deaths | 3974 | 40155 | 105112 | 149241 |
Florida population | 6267580 | 9924740 | 18934195 | 35126515 |
U.S. deaths | 63208 | 619982 | 1832268 | 2515458 |
U.S. population | 103542603 | 163960163 | 45296729 | 312799495 |
Total | 109877365 | 174545040 | 66168304 | 350590709 |
We know crude mortality rate from old data is,
Crude mortality rate of U.S. = 8
Crude mortality rate of Florida = 9.1
Therefore, using new data,
Crude mortality rate for U.S. = 8
Crude mortality rate for Florida = 7.9
Hence, new adjusted crude mortality rate of Florida us much closer to the Crude mortality rate for U.S. As there was difference in old data.
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Chapter 4 Solutions
EBK BIOSTATISTICS FOR THE BIOLOGICAL AN
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