Question

For the entire city of Athens, the average income is $33,060, and 37.8% of the residents are below the poverty line. A local researcher does not have this information, so she tries to estimate these values by taking a random sample of 200 citizens of Athens. In her sample, the average income is $38,150, and 25% of the citizens in her sample were below the poverty line.

1The entire city of Athens is the:_______.
a. population.
b. sample.
2) The 200 citizens from the researcher's data is the:______.
a. sample.
b. population.
3) Which symbol would denote the value of 0.378 in this example?
4) Which symbol would denote the value of 0.25 in this example?

Answer 1

1) Population

2) Sample

3) π=0.378

4) p=0.25

Explanation:

1) The entire city of Athens is the population, as is the group of subjects about which we want to inference the mean income and proportion of citizens under the poverty line.

2) The 200 citizens from the researcher's data is the sample. It gives data to estimate information about the population, in this case, the entire city of Athens.

3) The symbol that denotes the value of 0.378 should be π, as it is a population proportion.

`\pi=0.378`

4) The symbol that denotes the value of 0.25 should b p, as it is the sample proportion.

`p=0.25`