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Politician Alec and Candidate Simeon are running for governor. The latest surveys show that Politician Alec has 47% of the vote, while Candidate Simeon has 42% of the vote. The news report, however, states that this survey has a 6 % margin of error. What interval describes Politicians Alec's chances of winning the election?

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Answer:

(41%, 53%)

Step-by-step explanation:

Given that:

Politician Alec's vote = 47%

Candidate Simeon = 42%

Margin of Error = 6%

Interval which describes Alec's chances of winning

Chances of Alec winning (p) = 47%

Margin of Error = 6%

Interval :

p ± margin of error

47% ± 6%

47% - 6% ; 47% + 6%

(41%, 53%)

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