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Select the best answer The Web portal AOL places opinion poll questions next to many of its news stories. Simply click your response to join the sample. One of the questions in January 2008 was 鈥淒o you plan to diet this year?鈥 More than 30,000 people responded, with 68% saying 鈥淵es.鈥 You can conclude that (a) about 68% of Americans planned to diet in 2008. (b) the poll used a convenience sample, so the results tell us little about the population of all adults. (c) the poll uses voluntary response, so the results tell us little about the population of all adults. (d) the sample is too small to draw any conclusion. (e) None of these.

Short Answer

Expert verified
The best answer is (c): the poll uses voluntary response, so the results tell us little about the population of all adults.

Step by step solution

01

Understand the Sampling Method

This poll was conducted by asking people to click their responses on a webpage. This method involves participants choosing to respond.
02

Identify the Sampling Type

The sampling method used is a form of voluntary response sampling; individuals decide to participate on their own.
03

Consider the Impact of Voluntary Response

Voluntary response samples typically do not represent the general population well, as they might over-represent people who have strong opinions or are more engaged.
04

Eliminate Incorrect Options

Option (a) suggests that 68% of all Americans plan to diet, which can't be concluded from a voluntary response sample. Option (b) mentions convenience sampling, which is not the primary issue here. Option (d) claims the sample size is too small, but 30,000 responses is quite large.
05

Select the Best Conclusion

Given the nature of voluntary response samples, option (c) accurately describes the situation: the poll uses voluntary response, so the results tell us little about the population of all adults.

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Key Concepts

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

Voluntary Response Bias
Voluntary response bias occurs when survey respondents are self-selected. This means that individuals choose whether or not to participate in the survey on their own accord. While this might seem convenient, it can introduce significant bias into the results.
When people voluntarily participate, they are often those with strong opinions or particular interests in the topic at hand. In the AOL example, those planning to diet or who have health-conscious goals might be more motivated to respond. This can skew results because the sample population may not accurately represent the broader target group.
  • Voluntary response can skew data because only certain types of people respond.
  • It makes it difficult to generalize findings to the entire population.
  • This is a common limitation in many online polls and surveys.
To avoid voluntary response bias, it's best to use randomized sampling methods, where everyone in the population has an equal chance of being chosen.
Convenience Sampling
Convenience sampling is a method where the sample is taken from a group of people easy to reach or contact. While not directly highlighted in the AOL poll example, it鈥檚 essential to understand how this approach can affect results.
Convenience samples are appealing because they are quick and inexpensive. However, they often fail to represent the larger population accurately. For instance, reaching people via a web poll naturally excludes those without internet access or those who do not frequent the website.
  • Easy and quick to implement but not always reliable.
  • May not cover diverse sections of the population.
  • Results from such samples are usually not generalizable.
In practice, researchers should aim to minimize reliance on convenience sampling when aiming for accurate and representative data.
Population Inference
Population inference is about drawing conclusions about a larger population based on a sample taken from it. The key to accurate population inference is having a representative sample that accurately reflects the characteristics of the entire population.
In the example of the AOL poll, the use of voluntary response sampling means any conclusion drawn about the general population (e.g., all Americans planning to diet) is likely flawed. A representative sample would consider factors like age, gender, and geographical location to ensure an accurate cross-section of the population.
  • A representative sample helps in making sound inferences about a population.
  • Lack of representation can lead to biased or incorrect conclusions.
  • Good sampling techniques are crucial for valid population inferences.
Ultimately, careful sampling design ensures that the population inference accurately represents the larger group being studied.

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Most popular questions from this chapter

Identify the experimental units or subjects, the explanatory variables (factors), the treatments, and the response variables. You can use Voice over Internet Protocol (VoIP) to make long-distance telephone calls over the Internet. How will the cost affect the use of this service? A university plans an experiment to find out. It will offer the service to all 350 students in one of its dormitories. Some students will pay a low flat rate. Others will pay higher rates at peak periods and very low rates off-peak. The university is interested in the amount and time of use and in the effect on the congestion of the network.

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