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Solved: Response Rates Surveys tend to suffer from low

Chapter 2, Problem 17AYU

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Problem 17AYU

Response Rates Surveys tend to suffer from low response rates. Based on past experience, a researcher determines that the typical response rate for an e-mail survey is 40%. She wishes to obtain a sample of 300 respondents, so she e-mails the survey to 1500 randomly selected e-mail addresses. Assuming the response rate for her survey is 40%, will the respondents form an unbiased sample? Explain.

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QUESTION:

Problem 17AYU

Response Rates Surveys tend to suffer from low response rates. Based on past experience, a researcher determines that the typical response rate for an e-mail survey is 40%. She wishes to obtain a sample of 300 respondents, so she e-mails the survey to 1500 randomly selected e-mail addresses. Assuming the response rate for her survey is 40%, will the respondents form an unbiased sample? Explain.

ANSWER:

Answer:

Step 1

No,  the respondents do not form an unbiased sample,

Undercoverage (sampling bias)

Sampling bias also results due to undercoverage. Undercoverage occurs when the proportion of one segment of the population is lower in a sample than it is in the population.

Undercoverage can result because the frame used to obtain the sample is incomplete or not representative of the population.

For example, in low response rates, random email surveys are frequently conducted, which implies that the frame is all respondents with email. This method of sampling will exclude any respondents that does not have a email. If the individuals without a email differ in some way from people with a email, then the results of the sample may not be valid.

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