Question

The city of Port Angeles wants to estimate the percentage of likely voters within its city limits who favor a tax increase to build a new community center. A researcher for the city collects responses from 400 likely voters within the city limits. Match each description with a concept (individual, variable, population, sample, parameter, or statistic).

Description f. A likely voter within the city limits.
The set of responses of all likely voters within the city limits.
The percentage of all likely voters within the city limits favoring the tax increase.
The percentage of the 400 likely voters within the city limits favoring the tax increase.
The response of a likely voter within the city limits.
The set of responses of the 400 likely voters within the city limits.
Concept
a. individual
b. parameter
c. population
d. sample
e. variable
f. statistic

Answer 1

a. individual - A likely voter within the city limits

b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.

c. population - The set of responses of all likely voters within the city limits.

d. Sample - The set of responses of the 400 likely voters within the city limits.

e. variable - The response of a likely voter within the city limits.

f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.

Explanation:

Explaining the concepts :

An individual simply means each single data point in a dataset.

A set of individuals in a certain make up of interest is called a population.

A sample is defined as a random subset which is representative of the population.

Parameter is a statistical value derived from a population

Statistic is a statistical value derived from a sample

Variable - describes the attributes or characteristic of a sample or population.

a. individual - A likely voter within the city limits

b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.

c. population - The set of responses of all likely voters within the city limits.

d. Sample - The set of responses of the 400 likely voters within the city limits.

e. variable - The response of a likely voter within the city limits.

f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.