Question

In: Statistics and Probability

For a survey, one has a target population and a frame from which the sur- vey...

  1. For a survey, one has a target population and a frame from which the sur- vey sample is drawn. Describe two ways a frame can differ from the target population.

  2. (c) A local Christchurch organisation wants to find out how people living in Christ- church feel about the Christchurch City Council’s performance. The organi- sation plans to collect responses by surveying people in the central city and several shopping malls throughout Christchurch. Describe the advantages and disadvantages of using this as the survey frame in terms of the target popula- tion. You may wish to define the target population.

  3. (d) To select the people in the mall to answer the survey it is planned to just let interviewers choose the people to survey. Explain how this could affect the results and why random sampling is a much better way to sample.

  4. (e) Describe another way the data could be collected other than by sampling in malls. Clearly explain why this would provide better coverage of the target population.

Solutions

Expert Solution

(c) The target population for the Christchurch organisation survey is all the people living in Christ-church. The survey frame is the people living in the central city and the visitors of several malls throughout the city. The advantage of using this frame as a survey is that central city and malls will have a large number of people hence it becomes easy to survey a large portion of the population, secondly, the survey frame is more likely to have people who might have better-living conditions as compared to others because central city population and people visiting malls are expected to be in good financial status in general. On the other hand, the disadvantages are that the survey frame does not represent the whole population as people from other cities are not in the frame, secondly the survey frame likely to have people who do not actually belong to Christ-church city, they might be in the central city only for visiting or professional purposes.

(d) If the interviewers will choose the people then the results of the survey will be biased because the interviewers will choose people based on his or her experiences and intentions. The random sampling is a better way to sample because it will consider everyone in the sample frame with an equal chance of being selected in the sample.

(e) The data could be collected by using a cluster sample of locations in the city and this cluster will consider all the locations irrespective of the living conditions status. This will provide better coverage of the target population because every location is likely to be in the sample irrespective of their living conditions.

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