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Question
use the following scenario to answer questions 1-5. smithville is a community of 150,000 persons (70,000 females, 80,000 males). during 1985, there were 1,750 deaths from all causes. all cases of tuberculosis have been found, and they total 1100: 700 males and 400 females. in the past year 175 cases have been diagnosed. during 1985, there were 210 deaths from tuberculosis; 90 of those who died were male. calculate the proportionate mortality due to tuberculosis.
Step1: Recall the formula for proportionate mortality
Proportionate mortality from a specific cause is calculated as the number of deaths from that cause divided by the total number of deaths from all causes, then multiplied by 100 (to express as a percentage, though sometimes it's just the ratio). The formula is:
$$\text{Proportionate Mortality} = \frac{\text{Deaths from Tuberculosis}}{\text{Total Deaths from All Causes}}$$
Step2: Identify the values from the scenario
From the scenario, the number of deaths from tuberculosis is 210, and the total number of deaths from all causes is 1,750.
Step3: Substitute the values into the formula
Substitute the values into the formula:
$$\text{Proportionate Mortality} = \frac{210}{1750}$$
Step4: Calculate the result
Simplify the fraction:
$$\frac{210}{1750} = \frac{210\div70}{1750\div70} = \frac{3}{25} = 0.12$$
If we want to express it as a percentage, we multiply by 100: \(0.12\times100 = 12\%\)
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The proportionate mortality due to tuberculosis is \(\frac{210}{1750}=0.12\) (or 12% if expressed as a percentage).