Let\'s say that you wanted to conduct a random stratified sample of Fayetteville

Question

Let's say that you wanted to conduct a random stratified sample of Fayetteville, AR residents with the groups of interest based on the racial characteristics of the community. To achieve a 95% confidence level with a 5% sampling error, you will likely need 382 participants. Use the census data percentages next to each race to determine how many individuals from each race would need to be sampled in order to have an accurate representation of the population. Once you have provided the number of participants for each group, explain how you arrived at these answers. Your answer may include a description of what random stratified sampling is and how you applied that concept to this prompt Black or African American alone (5.95%) White alone (83.80%): Asian alone (3.08%): American Indian or Alaskan Native alone (1.07%) Native Hawaiian or Other Pacific Islander alone (. 23%) Some Other Race alone (2.79%) Two or more races (3.07%): Explanation

Explanation / Answer

Stratified sampling refers to a type of sampling method . With stratified sampling, the researcher divides the population into separate groups, called strata. Then, a probability sample (often a simple random sample ) is drawn from each group.

Now ,

Black or African American Alone = 5.95%*382 =23

White alone = 83.8%*382 = 320

Asian alone = 12

American Indian or alaskan Native alone = 4

Native Hawaiian or other pacific alone = 88

Some other race alone = 11

Two or more races = 12

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