Question
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The city of Raleigh has 11100 registered voters. There are two candidates for city council in an
upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200
randomly selected registered voters was conducted. 115 said they’d vote for Brown, 66 said
they’d vote for Feliz, and 19 were undecided.
Give the sample statistic for the proportion of voters surveyed who said they’d vote for
Brown.
Note: Answer as a reduced fraction.
This sample statistic suggests that we might expect
to vote for Brown.
Question Help:

Ask by Moreno Mckenzie. in the United States
Mar 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The sample proportion of voters who said they’d vote for Brown is .

Solution

  1. The sample proportion of voters who said they’d vote for Brown is given by
  2. To reduce the fraction, divide the numerator and the denominator by their greatest common divisor, which is 5:
  3. Therefore, the sample statistic for the proportion of voters who said they’d vote for Brown is

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

The sample statistic for the proportion of voters surveyed who said they’d vote for Brown can be calculated as the number of voters who said they’d vote for Brown divided by the total number of surveyed voters. In this case, that would be , which simplifies down to when reduced.
This sample statistic suggests that if the trend holds, we might expect a similar proportion of the entire voter population to favor Brown. Given that this is a small sample size relative to the total registered voters, it’s always good to bear in mind how fluctuations might occur on election day!

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