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\- More sampling methods Consider each of these situations. Do you think the proposed sampling method is appropriate? Explain. a) We want to know if there is neighborhood support to turn a vacant lot into a playground. We spend a Saturday afternoon going door-to-door in the neighborhood, asking people to sign a petition. b) We want to know if students at our college are satisfied with the selection of food available on campus. We go to the largest cafeteria and interview every 10 th person in line.

Short Answer

Expert verified
Both methods have potential biases in sampling; method (a) risks home visit bias, while method (b) may not represent all students.

Step by step solution

01

Identify the Purpose of Sampling Method (a)

The purpose is to determine if there is support for turning a vacant lot into a playground. Going door-to-door is a method that allows for personal interaction, which can be favorable in gathering detailed information and encouraging support.
02

Evaluate Effectiveness of Sampling Method (a)

Door-to-door sampling is time-intensive and may introduce bias, as only people who are at home during the survey can participate. There's also a risk of influencing people directly which could skew results, as individuals may feel pressured to sign the petition when asked in person.
03

Identify the Purpose of Sampling Method (b)

The aim is to find out if students are satisfied with the food selection on campus. The method involves interviewing every 10th person at the largest cafeteria, which is systematic sampling.
04

Evaluate Effectiveness of Sampling Method (b)

Conducting interviews at a cafeteria might bias the sample towards students who eat there, excluding those who eat elsewhere or bring their food. This sample may not accurately represent all students' opinions on campus food.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Bias in Sampling
Bias in sampling can significantly impact the validity of survey results. When sampling methods introduce bias, they can lead to results that do not accurately represent the entire population. This is a critical concept to understand because the goal of sampling is to acquire insights from a smaller group that accurately reflects a larger population.

In the original exercise, a door-to-door method is used to gather opinions on transforming a lot into a playground. This introduces sampling bias as it only captures those individuals who are at home on a Saturday afternoon. People who are away might have different opinions, which are not captured here. Additionally, face-to-face interactions can sometimes pressure individuals into agreeing with a proposition, thereby skewing the results.

Reducing bias is essential for reliable data. This can sometimes be achieved by simply altering the sampling method to ensure a diverse and inclusive sample that genuinely reflects the population.
Systematic Sampling
Systematic sampling is a method often used to obtain samples from a larger group in a structured and orderly way. The process involves selecting elements from an ordered sampling frame, typically at a uniform interval. For instance, picking every 10th individual from a list.

In the example from the exercise, interviewing every 10th person in line at the cafeteria is a systematic sampling method. While this can be a simpler method for data collection, it can inadvertently introduce bias if the pattern of the sampling corresponds with any natural pattern or grouping in the population. In our example, only students frequenting the college's main cafeteria at certain times are included, which might not reflect the entire student body's opinion about the food on campus.

When using systematic sampling, it’s crucial to ensure that the order within the sampling frame is random and doesn’t correlate with any external factor that might bias the results of the survey.
Survey Methods
Survey methods are varied techniques used to gather information from respondents. Choosing the right survey method depends on the nature of the information sought and the population being studied.

Some common survey methods include:
  • Face-to-Face Surveys: Allow for interactive data collection and are ideal for in-depth responses. However, they can introduce interviewer bias and require more time and resources.
  • Online Surveys: Efficient for collecting data from large and geographically diverse populations, though they can exclude those who lack internet access.
  • Telephone Surveys: Useful for reaching a wide audience, but might incur issues with people’s availability and willingness to participate.
  • Mail Surveys: Can reach those without immediate internet access, but often suffer from low response rates.
Selecting an appropriate survey method is vital to obtaining unbiased and comprehensive data. In each method, it’s important to be aware of the potential biases that can affect the results and to use techniques to mitigate these biases.

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Most popular questions from this chapter

Cell phone survey What about drawing a random sample only from cell phone exchanges? Discuss the advantages and disadvantages of such a sampling method compared with surveying randomly generated telephone numbers from non-cell phone exchanges. Do you think these advantages and disadvantages have changed over time? How do you expect they'll change in the future?

\- Another mistaken poll Prior to the mayoral election discussed in Exercise \(15,\) the newspaper also conducted a poll. The paper surveyed a random sample of registered voters stratified by political party, age, sex, and area of residence. This poll predicted that Amabo would win the election with \(52 \%\) of the vote. The newspaper was wrong: Amabo lost, getting only \(46 \%\) of the vote. Do you think the newspaper's faulty prediction is more likely to be a result of bias or sampling error? Explain.

\- Happy workers? A manufacturing company employs 14 project managers, 48 foremen, and 377 laborers. In an effort to keep informed about any possible sources of employee discontent, management wants to conduct job satisfaction interviews with a sample of employees every month. a) Do you see any potential danger in the company's plan? Explain. b) Propose a sampling strategy that uses a simple random sample. c) Why do you think a simple random sample might not provide the representative opinion the company seeks? d) Propose a better sampling strategy. e) Listed below are the last names of the project managers. Use random numbers to select two people to be interviewed. Explain your method carefully. \(\begin{array}{lll}\text { Barrett } & \text { Bowman } & \text { Chen } \\\ \text { Delara } & \text { DeRoos } & \text { Grigorov } \\ \text { Maceli } & \text { Mulvaney } & \text { Pagliarulo } \\ \text { Rosica } & \text { Smithson } & \text { Tadros } \\ \text { Williams } & \text { Yamamoto }\end{array}\)

Roper Through their Roper Reports Worldwide, GfK Roper conducts a global consumer survey to help multinational companies understand different consumer attitudes throughout the world. Within 30 countries, the researchers interview 1000 people aged \(13-65 .\) Their samples are designed so that they get 500 males and 500 females in each country. (www.gfkamerica.com) a) Are they using a simple random sample? Explain. b) What kind of design do you think they are using?

Identify the following items possible ). If you can't tell, then say so - this often happens when we read about a survey. a) The population b) The population parameter of interest c) The sampling frame d) The sample e) The sampling method, including whether or not randomization was employed f) Any potential sources of bias you can detect and any problems you see in generalizing to the population of interest Medical treatments Consumers Union, in an attempt to get information about U.S. adults, asked all subscribers whether they had used alternative medical treatments and, if so, whether they had benefited from them. For almost all of the treatments, approximately \(20 \%\) of those responding reported cures or substantial improvement in their condition. They received replies from \(12 \%\) of their subscribers.

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