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Based on the principles of proportionate stratified random sampling, how should the research team distribute their final sample across the urban, suburban, and rural subgroups, and why is this method appropriate for their goal?
Case context: A research team is designing a national survey to understand public opinion on a new psychological health initiative. They know from census data that the population is distributed geographically as follows: in urban areas, in suburban areas, and in rural areas. They decide to use a proportionate stratified random sampling method to ensure their sample of participants accurately reflects these geographical demographics.
Question: Based on the principles of proportionate stratified random sampling, how should the research team distribute their final sample across the urban, suburban, and rural subgroups, and why is this method appropriate for their goal?
Sample answer: The research team should select 400 participants from urban areas, 350 participants from suburban areas, and 250 participants from rural areas. This method is appropriate because proportionate stratified random sampling guarantees that the subgroup proportions in the sample perfectly match the subgroup proportions in the overall population, fulfilling their goal of accurate geographical reflection.
Key points:
- Correctly identifies that of the sample must be urban ( participants).
- Correctly identifies that of the sample must be suburban ( participants).
- Correctly identifies that of the sample must be rural ( participants).
- Explains that the method ensures sample proportions perfectly match population proportions.
Rubric: The student should correctly calculate the number of participants for each subgroup and explain that the method ensures the sample matches the population proportions perfectly.
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Research Methods in Psychology - 4th American Edition @ KPU
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