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12 July, 11:12

In a Fox News Poll conducted in October 2011, 904 registered voters nationwide answered the following question: "Do you think illegal immigrants who have lived in the United States since they were children should be eligible for legal citizenship, or not?" 63% answered "should be" eligible for legal citizenship with a margin of error of 3% at a 95% level of confidence.

Which of the following statements is correct?

a) We are 95% confident that 63% of all registered voters nationwide will answer "should be."

b) We are 95% confident that between 60% and 66% of all registered voters nationwide will answer "should be."

c) We are 95% confident that between 63% and 66% of all registered voters nationwide will answer "should be."

d) 95% of the 904 registered voters in the sample answered "should be."

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Answers (1)
  1. 12 July, 15:09
    0
    The correct answer is Option B.

    Explanation:

    As per the data given in the question,

    Eligible for legal citizenship = 63%

    Error = 3%

    Level of confidence = 95%

    Here, the CI is 63% ± 3%, which means 60% to 66% and this indicates that with 95% confidence, the true proportion lies between this interval

    This is shown by option B

    Hence, option B is correct answer
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