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Problem-Solving and Data Analysis Difficulty: Medium
 Plan to vote for Candidate APlan to vote for Candidate B
Female20220
Male34144

A random sample of 400 town voters were asked if they plan to vote for Candidate A or Candidate B for mayor. The results were sorted by gender and are shown in the table below.

The town has a total of 6,000 voters. Based on the table, what is the best estimate of the number of voters who plan to vote for Candidate A?

 

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Explanation

The correct answer is 3,540. According to the table, of 400 voters randomly sampled, the total number of men and women who plan to vote for Candidate A is 202 plus 34 equals 236. The best estimate of the total number of voters in the town who plan to vote for Candidate A is the fraction of voters in the sample who plan to vote for Candidate A, the fraction 236 over 400, multiplied by the total voter population of 6000. Therefore, the answer is open parenthesis, the fraction 236 over 400, close parenthesis, times, 6000, equals 3540.