A sociologist is studying the print newspaper subscription habits of residents in a city. The table below shows the total number of households, the sample size, and the number of households in each sample that report subscribing to a print newspaper for the city's two districts.
| District | Total households | Sample size | Subscribing households in sample |
|---|---|---|---|
| West | |||
| East |
Based on the results of these samples, what is the estimated total number of households in the city that subscribe to a print newspaper?
Answer: 5110
Answer
5110
To find the total estimated number of households in the city that subscribe to a print newspaper, we must estimate the subscriptions for each district separately and then sum them. For District West, the proportion of households subscribing is . Multiplying this by the total number of households in District West () gives an estimate of subscribing households. For District East, the proportion of households subscribing is . Multiplying this by the total number of households in District East () gives an estimate of subscribing households. Adding these two estimates together () results in a total estimate of households.
Step-by-Step Solution
Key Concept
Estimating population parameters from stratified random samples