A researcher wants to be sure that the sample in her study is not unrepresentative of the distribution of ethnic groups in her community. Her sample includes 300 whites, 80 African Americans, 100 Latinos, 40 Asians, and 80 others. In her community, according to census records, there are 48% whites, 12% African Americans, 18% Latinos, 9% Asians, and 13% others. Is her sample unrepresentative of the population in her community

Respuesta :

Answer:

Yes. Her sample is unrepresentative of the population in her community.

Step-by-step explanation:

a) Data and Calculations:

Population                Study  Census %     Representative       Over/Under

                               Sample                           Sample              Representation

Whites                       300        48%           288 (48% * 600)         12

African Americans      80         12%             72 (12% * 600)           8

Latinos                       100         18%           108 (18% * 600)           (8)

Asians                         40          9%             54 (9% * 600)           (14)

Others                        80         13%             78 (13% * 600)            2

Total                         600      100%          600                                0

b) There is selection bias in her sample. A representative sample of 600 is the subset of a population that seeks to accurately reflect the characteristics of the larger group.   When the sample for each category does not accurately represent the characteristics or attributes of the population categories, then it is unrepresentative.

Sampling is the collection of randomly chosen data from the entire population to come to an end conclusion about the variable to be determined or known.

Yes, the sample is unrepresentative of the entire population.

The reason for the sample being unrepresentative of the entire population in her community is that the selected sample is deviating a lot from the population count.

As per the computation, there is selection bias in her sample. This is because the representative sample is 600 that represents the entire population and reflects the characteristics of the larger group.

The sample becomes unrepresentative when the sample chosen does not accurately represent the true attributes of the population.

To know more about sampling, refer to the link:

https://brainly.com/question/350477

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