Question

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.

Name: Problem 31, Chapter 4: The Practice of Statistics for AP
Uploaded: 2020-04-04T21:21:44-08:00
Duration: 1 min 23 s
Channel: Anna Miller

   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.

The Practice of Statistics for AP

Daren S. Starnes,… 4th Edition

Chapter 4, Problem 31

Instant Answer

Solved by Expert Anna Miller

04/04/2020

Step 1

The rate of non-response is the number of people who did not respond divided by the total number of people contacted. In this case, the total number of people contacted is 45,956 and the number of people who responded is 5,029. Therefore, the number of people who Show more…

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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.

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Key Concepts

Nonresponse Rate

This concept refers to the proportion of individuals in a sample who do not provide the needed data. It is calculated by subtracting the number of completed responses from the total sample size and then dividing by the total sample size. A high nonresponse rate indicates that a significant portion of the sample did not participate, which can potentially jeopardize the study’s reliability.

Nonresponse Bias

Nonresponse bias occurs when the individuals who choose not to respond to a survey differ in significant ways from those who do respond. This bias can affect the estimated results if the nonrespondents exhibit traits or behaviors, such as driving habits in this context, that noticeably differ from the respondents. The bias may skew the average driving distance estimation either upward or downward, depending on whether the nonrespondents tend to drive more or less than the respondents.

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