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Inference from sample statistics and margin of error SAT question
Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.
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.
| Plan to vote for Candidate A | Plan to vote for Candidate B | |
|---|---|---|
| Female | 202 | 20 |
| Male | 34 | 144 |
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?
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
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 
. 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, 
, multiplied by the total voter population of 6000. Therefore, the answer is 
.
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