A large city was interested in annexing part of the surrounding county. In a scientific survey of registered voters conducted by the local newspaper, $$\(58 \%\)$$ of respondents said they were against the annexation. During the actual vote, not all eligible voters voted, but $$\(56 \%\)$$ of the respondents voted against the annexation. Which of the following best describes the difference in the percentages obtained from the newspaper poll and the vote itself?
A.
It is an example of nonresponse bias, the systematic tendency of individuals with particular characteristics to refuse to answer a survey question.
B.
It is the systematic difference between a statistic and parameter caused by the nonrandom selection of surveyed persons.
C.
It is the difference between the same statistics computed from two different samples.
D.
It is the difference between the statistic and the truth due to use of a random sample.
E.
It was caused by the large number of newspaper subscribers in the county.
Exam No:AP Statistics Problem Set 11 Year:2024 Question No:APStatistics2024AP0458
Answer:
C
Knowledge points:
3.3 Random Sampling and Data Collection
3.4 Potential Problems with Sampling
5.5 Sampling Distributions for Sample Proportions
Solution:
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