Question

a survey of 1,565 households estimated that 72% of the households in a given state owned a television.

what is the population?

all the households in given state
1565 households surveyed
1127 households that owned televisions

Explanation:

Define population and sample

Using the Statistical Population and Sample vs Population knowledge points

• Population: The entire group of individuals or instances about whom we hope to learn.
• Sample: A representative subset of a population, examined in hope of learning about the population.

Identify the components in the scenario

Using the Sample vs Population knowledge point

• The survey collects data from a subset of \(1,565\) households. This subset represents the sample.
• The study aims to estimate a characteristic (\(72\%\) owning a television) for the entire group of interest, which is all the households in the given state. This entire group represents the population.

Evaluate the given options

Using the Statistical Population knowledge point

• all the households in given state: This represents the entire group of interest, which is the population.
• 1565 households surveyed: This represents the subset of the population from which data was collected, which is the sample.
• 1127 households that owned televisions: This represents a specific count of individuals within the sample who meet a certain condition (\(72\%\) of \(1,565 \approx 1,127\)).

Answer:

• all the households in given state (Correct answer)
• 1565 households surveyed
• 1127 households that owned televisions