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A survey of drivers began by randomly sampling all listed residential telephone numbers in the United States. Of 45,956 calls to these numbers, 5029 were completed. The goal of the survey was to estimate how far people drive, on average, per day.14 (a) What was the rate of non response for this sample? (b) Explain how non response can lead to bias in this survey. Be sure to give the direction of the bias.

Short Answer

Expert verified
(a) 89.06% non-response rate. (b) Non-response may lead to underestimating daily driving distances.

Step by step solution

01

Calculate Total Non-Responses

First, let's determine the total number of non-responses. The total number of calls was 45,956, and the number completed was 5,029. Therefore, the number of non-responses is 45,956 minus 5,029.
02

Compute Non-Response Count

Subtract the number of completed calls from the total calls: \[ 45,956 - 5,029 = 40,927 \] This means 40,927 calls were not answered or refused to participate.
03

Determine Non-Response Rate

The non-response rate is calculated as the ratio of non-responses to the total number of calls, expressed as a percentage. Using the formula: \[ \text{Non-response rate} = \left(\frac{\text{Number of non-responses}}{\text{Total calls}}\right) \times 100 \% \] So, \[ \left(\frac{40,927}{45,956}\right) \times 100 \% \approx 89.06\% \].
04

Analyze the Impact of Non-Response on Bias

Non-response bias occurs when the respondents differ significantly in their characteristics or preferences from the non-respondents. In this case, the direction of the bias relates to those who do not answer surveys. Often, individuals who drive longer distances may not be reachable during typical survey times or may choose not to respond due to being busy. Therefore, the bias is likely in the direction that underestimates the average driving distance.

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Key Concepts

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

Survey Methods
Surveys are a popular method for collecting data from a particular group of people. They help gather information about opinions, behaviors, or characteristics. This technique involves asking questions to a sample of individuals, aiming to derive conclusions about the larger population.
Conducting a successful survey requires careful planning and execution. You need to define clear objectives and questions. This helps ensure that participants understand exactly what is being asked of them.

Choosing the Right Survey Method

There are different ways to conduct surveys, such as:
  • Telephone surveys: calling individuals to collect responses directly over the phone.
  • Online surveys: sending questionnaires to participants through email or social media.
  • Face-to-face interviews: involving direct interaction with respondents.
  • Mail surveys: delivering paper questionnaires to be filled out and returned.
Using the appropriate method depends on the objectives, budget, and the time available. Each method has its own merits and drawbacks. For instance, telephone surveys can reach people quickly, yet might miss out on those without listed phone numbers.
Sampling Techniques
Sampling is the process of selecting a subset of individuals from the larger population to represent it. The chosen sample should accurately reflect the overall population's characteristics.
There are different sampling techniques that researchers can use to acquire a representative sample.

Random Sampling

This is one of the most reliable methods to ensure that the sample is unbiased. Every member of the population has an equal chance of being selected. This is done to minimize bias and create a sample that reflects the population as a whole.
In the given exercise, all listed residential telephone numbers were randomly sampled. This is supposed to give each household an equal opportunity to be included.

Challenges with Sampling

There can be unexpected challenges as well. Some households might not have listed numbers or may use different methods of communication. This could inadvertently exclude parts of the population, leading to bias. When random sampling is not possible, researchers might use other methods like stratified or systematic sampling to try to ensure representativeness.
Response Rates
The response rate in a survey is the percentage of people who completed the survey out of those who were contacted. High response rates often signify more reliable and accurate results, as they suggest the sample genuinely represents the population.
For example, in the exercise, only 5,029 out of 45,956 calls were completed, yielding a response rate of approximately 10.94%.

Influence of Low Response Rates

A low response rate, like the one seen in this case, usually indicates the possibility of non-response bias. This happens when the views or behaviors of those who do not respond differ from those who do. When the response rate is low, the survey results may not accurately reflect the views of the entire population.

Improving Response Rates

There are strategies to improve response rates:
  • Follow-up contacts: calling or emailing reminders to encourage participation.
  • Incentives: offering a small reward for completing the survey.
  • Simplifying the survey: ensuring questions are quick and easy to understand.
Combining these strategies can help enhance participation, resulting in better quality data and more trustworthy insights.

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