Calculate the age-adjusted death rate from disease X in cities A and B by the direct method,using the total of both cities as the standard population.What is the age-adjusted death rate from disease X for City B? Use the following table to answer the question. Number of Residents and Deaths From Disease X by Age Group in City A and City B
\begin{array}{|c|c|c|}\hline\quad\quad\quad\quad\quad\text{} &\quad\quad\quad\quad\quad\quad\quad\text{City A} \quad\quad\quad\quad\quad\quad\ & \quad\quad\quad\quad\quad\quad\quad\text{City B}\quad\quad\quad\quad\quad\quad\\end{array}
$\begin{array}{lllll}\text{ Age group }& \text{ No. of residents }& \begin{array}{l}\text{ No. of deaths }\\ \text{ from disease X }\end{array}& \text{ No. of residents }& \begin{array}{l}\text{ No. of deaths }\\ \text{ from disease X }\end{array}\\ \text{ Age }<65& 3,000& 30& 6,000& 60\\ \text{ Age }>65& 6,000& 450& 3,000& 225\end{array}$

A) 53 deaths/1,000 people
B) 32 deaths/1,000 people
C) 10 deaths/1,000 people
D) 75 deaths/1,000 people
E) 43 deaths/1,000 people

To calculate the age-adjusted death rate for City B using the direct method, we first need to determine the standard population, which is the total population of both cities combined for each age group. Then, we calculate the expected deaths in City B for each age group based on the standard population and the specific death rates for City B's age groups. Finally, we sum these expected deaths and divide by the total standard population, multiplying by 1,000 to get the rate per 1,000 people.1. Standard population for each age group: - Age <65: 3,000 (City A) + 6,000 (City B) = 9,000 - Age >65: 6,000 (City A) + 3,000 (City B) = 9,0002. Death rates for City B by age group: - Age <65: 60 deaths / 6,000 residents = 0.01 (or 10 deaths per 1,000 residents) - Age >65: 225 deaths / 3,000 residents = 0.075 (or 75 deaths per 1,000 residents)3. Expected deaths in City B using the standard population: - Age <65: 9,000 * 0.01 = 90 deaths - Age >65: 9,000 * 0.075 = 675 deaths4. Total expected deaths in City B: 90 + 675 = 765 deaths5. Total standard population: 9,000 + 9,000 = 18,0006. Age-adjusted death rate for City B: (765 deaths / 18,000 people) * 1,000 = 42.5 deaths per 1,000 people, which rounds to 43 deaths per 1,000 people (E).