Continuation of previous question. A community has 3,000 households. The City Co

Question

Continuation of previous question. A community has 3,000 households. The City Council wants to estimate the proportion of households that would be likely to recycle if recycling bins are provided at convenient locations. The survey must be done at a low-cost and within 2 to 3 weeks time frame. There are three interviewers available to complete the survey. Each interviewer will sample about 1/3 of the total sample size determined in part 1 There is a list of property owners available from the county assessor's office (the list for tax purposes). The local telephone book includes the published phone number for city and county residents. The city has five (5) wards, or sub communities, each with about 600 households. Each ward has 7 to 9 voting precincts, where each precinct has 50 to 100 voters. The voter list (name and address) for the voting precincts in each ward is available from the county clerk's office. The list of individuals (name and address) receiving water & sewer bills is available from the city utility company and can be sorted by name or address. Google Maps provides a good aerial map of the community (houses can be identified by address vs. businesses). Using information from the text, determine a sampling technique (using any or all of the items listed) to meet the requirements of low cost and quick turnaround. Would you recommend face-to-face, telephone, mail or other type of survey? Would you recommend simple random, stratified, systematic, cluster, or some other sampling technique or combination of techniques? Support your choice and tell why other choices would not be as good a choice.

Explanation / Answer

Answer:

For the given scenario, we have to choose the proper sampling method considering the constraints like time and cost of survey. The community consists of about 3000 households and we would use multi-stage sampling method for the selection of households. From the given information, the stratified random sampling is appropriate at first stage of random selection for the given data. We would consider the wards or sub communities as strata and then we will select some voting precincts by using simple random sampling. Then we will select some households from selected voting precincts by using simple random sampling. We will recommend telephone interviews for the selected households due to cost of survey. Personal face to face interviews will increase the cost of survey.

In above scenario, at first state we will use stratified random sampling, at second stage we will use simple random sampling, and at third stage we will use simple random sampling. Other methods of random sampling would not appropriate because these methods would not cover entire population under consideration and there would be bias during the selection if each community not included in the research study.

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