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 cause-specific mortality rate for tuberculosis per 100,000.

Explanation:

Step1: Recall the formula for cause - specific mortality rate

The formula for cause - specific mortality rate is \(\text{Cause - specific mortality rate}=\frac{\text{Number of deaths from a specific cause}}{\text{Total population}}\times k\), where \(k\) is a constant (in this case, \(k = 100000\) to get the rate per 100,000).

Step2: Identify the values

From the scenario, the number of deaths from tuberculosis (specific cause) is \(210\), and the total population of Smithville is \(150000\).

Step3: Plug the values into the formula

\(\text{Cause - specific mortality rate}=\frac{210}{150000}\times100000\)

First, simplify \(\frac{210}{150000}\times100000=\frac{210\times100000}{150000}\)

We can simplify the fraction by dividing numerator and denominator by \(1000\): \(\frac{210\times100}{150}=\frac{21000}{150}\)

Then, divide \(21000\) by \(150\): \(21000\div150 = 140\)

Answer:

The cause - specific mortality rate for tuberculosis per 100,000 is \(140\).