Owners of a radio station want to obtain information on the radio listening habits in their market area. The market area contains one city of population 150,000, another city of 40,000, and three towns of about 6,000 inhabitants each. The station suspects the listening habits may be different in larger and smaller cities, and in the rural areas, so it splits the market area up accordingly to survey. Which of the following sampling designs best represents the type of survey design described? A cluster sample using regions in the market area as clusters A convenience sample from the market area A simple random sample from the whole market area A stratified sample from the cities and towns in the market area An online poll that invites all people from the cities and towns in the market area to participate

Question

Mathematics

Mikayla Donovan

22 June, 07:35

Owners of a radio station want to obtain information on the radio listening habits in their market area. The market area contains one city of population 150,000, another city of 40,000, and three towns of about 6,000 inhabitants each. The station suspects the listening habits may be different in larger and smaller cities, and in the rural areas, so it splits the market area up accordingly to survey. Which of the following sampling designs best represents the type of survey design described? A cluster sample using regions in the market area as clusters A convenience sample from the market area A simple random sample from the whole market area A stratified sample from the cities and towns in the market area An online poll that invites all people from the cities and towns in the market area to participate

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Answers (1)

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Tiara · Answer 1

The correct option is:

A stratified sample from cities and towns in the market area.

Step-by-step explanation:

Stratified sampling is a method of sampling for a population which usually divided into smaller groups. These groups are known as strata. For research purposes, the size of the population can be too large for a researcher, and will require a lot of time and money to complete the research, which happens in this case. So for ease, the researcher may divide the population in small groups strata, which are easy to handle.