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?

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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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