A Gallop poll wants to determine the proportion of people who plan on voting for neither the republican or the democratic candidate in the upcoming election (those who will vote third party). They conduct a random phone poll, where they contact 500 individuals and ask them whether or not they plan on voting for a third party candidate. Of these 500 respondents, 35 people say they plan on voting for a third party candidate. Assuming all conditions are met, what is the 98% confidence interval for the true proportion of all people who plan on voting third party?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A Gallop poll wants to determine the proportion of people who plan on voting for neither the republican or the democratic candidate in the upcoming election (those who will vote third party).  They conduct a random phone poll, where they contact 500 individuals and ask them whether or not they plan on voting for a third party candidate.  Of these 500 respondents, 35 people say they plan on voting for a third party candidate.  

Assuming all conditions are met, what is the 98% confidence interval for the true proportion of all people who plan on voting third party?

  A.

(-0.0303, 0.1703)

  B.

(0.0476, 0.0924)

  C.

(31.4116, 38.5884)

  D.

(0.0435, 0.0965)

  E.

(0.0420, 0.0980)

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