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You want to know the opinions of American high school teachers on the issue of

Chapter 4, Problem T4.11

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QUESTION:

Section I: Multiple Choice  Select the best answer for each question.

You want to know the opinions of American highschool teachers on the issue of establishing a national proficiency test as a prerequisite for graduation from high school. You obtain a list of all high school teachers belonging to the National Education Association (the country’s largest teachers’ union) and mail a survey to a random sample of 2500 teachers. In all, 1347 of the teachers return the survey. Of those who responded, 32% say that they favor some kind of national proficiency test. Which of the following statements about this situation is true?

(a) Because random sampling was used, we can feel confident that the percent of all American high school teachers who would say they favor a national proficiency test is close to 32%.

(b) We cannot trust these results, because the survey was mailed. Only survey results from face-to-face interviews are considered valid.

(c) Because over half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percent of all American high school teachers who would say they favor a national proficiency test is close to 32%.

(d) The results of this survey may be affected by nonresponse bias.

(e) The results of this survey cannot be trusted due to voluntary response bias.

Questions & Answers

QUESTION:

Section I: Multiple Choice  Select the best answer for each question.

You want to know the opinions of American highschool teachers on the issue of establishing a national proficiency test as a prerequisite for graduation from high school. You obtain a list of all high school teachers belonging to the National Education Association (the country’s largest teachers’ union) and mail a survey to a random sample of 2500 teachers. In all, 1347 of the teachers return the survey. Of those who responded, 32% say that they favor some kind of national proficiency test. Which of the following statements about this situation is true?

(a) Because random sampling was used, we can feel confident that the percent of all American high school teachers who would say they favor a national proficiency test is close to 32%.

(b) We cannot trust these results, because the survey was mailed. Only survey results from face-to-face interviews are considered valid.

(c) Because over half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percent of all American high school teachers who would say they favor a national proficiency test is close to 32%.

(d) The results of this survey may be affected by nonresponse bias.

(e) The results of this survey cannot be trusted due to voluntary response bias.

ANSWER:

Step 1 of 2

(a) False, the sample is a voluntary response sample, not a random sample.

(b) False, non face-to-face interviews are also considered valid.

(c) False, because the non-response rate is still quite high (a little less than ).

(d) True, because the non-response rate is still quite high (a little less than ).

(e) False, if the non-response rate of the voluntary response sample would have been , then the results could be trusted.

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