poll taken of 500 voters three months before the election showed that 55% favored the Republican candidate with a margin of error of 4%. A second poll of 500 voters taken two weeks later showed that 45% favored the Republican candidate, again with a margin of error of 4%. Consider the following possible explanations for these results. 1. At least one of the polls is wrong since the ranges of possible values of the population parameter do not overlap.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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 poll taken of 500 voters three months before the election showed that 55% favored the Republican candidate with a margin of error of 4%. A second poll of 500 voters taken two weeks later showed that 45% favored the Republican candidate, again with a margin of error of 4%. Consider the following possible explanations for these results.
1. At least one of the polls is wrong since the ranges of possible values of the population parameter do not overlap.
2. Both polls are right, but voters changed their minds between the two polls.
3. One of the polls selected a sample that was not representative of the population.
Which statements are possible explanations of the results?
A) Statements 1, 2, and 3
B) Statements 1 and 2
C) Statements 1 and 3
D) Statements 2 and 3 

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