Question

A researcher wishes to estimate the proportion of all adults who own a cell phone. He takes a random sample of 2000 adults; 1650 of them own a cell phone. The population of interest to the research is:

A. the total 2000 adults surveyed

B. The 1650 adults who own a cell phone

C. All adults

D. All adults who own a cell phone

Answer 1

The population of interest to the research is:

C. All adults

The population of interest to the research is All adults, even though the A researcher wishes to estimate the proportion of all adults who own a cell phone;

proportion of all adults who own a cell phone = Number of all adults who own a cell phone / Number of all adults;

So, if just considering All adults who own a cell phone as population of interest, the researcher will not be able to consider all adults while sampling for the adults and adults who own a cell phone;

therefore, All adults is the population of interest to the research.