A county in Illinois is conducting a survey to determine the mean annual income per household. The county is 427sq mi (2.65q km). Which of the following sampling methods would MOST likely result in a representative sample?
A.
A stratified phone survey of 100 people that is conducted between 2:00 p.m. and 3:00 p.m.
B.
A systematic survey that is sent to 100 single-family homes in the county
C.
Surveys sent to ten randomly selected homes within 5mi (8km) of the county’s office
D.
Surveys sent to 100 randomly selected homes that are reflective of the population
D. Surveys sent to 100 randomly selected homes that are reflective of the population is the most likely method to result in a representative sample. This is because it ensures that the sample is taken from a broad range of the population, and not just limited to a specific area or time. It also ensures that the sample is a random selection, which minimizes the risk of selection bias. This is considered a better method than the other options, which may result in a biased sample due to the specific methods used (such as only surveying homes within a specific area or at a specific time).
D. Random sampling is a method of selecting a representative sample from a larger population in which every member of the population has an equal chance of being selected. To ensure that the sample is representative of the population, it is important to select a large enough sample size and to ensure that the sample is drawn from the entire population. In this case, the county is 427sq mi (2.65q km) and the sample is being drawn from 100 randomly selected homes, so it is likely that the sample will be representative of the entire population.
Option A is not a representative sample because it is a phone survey conducted during a specific time period. Option B is not a representative sample because it is only sent to single-family homes. Option C is not a representative sample because it is only sent to homes within a specific distance of the county’s office.
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ronniehaang
9 months agoCineFeX
10 months, 1 week ago