SAT Math Multiple Choice Question 585: Answer and Explanation

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Question: 585

15. In a 2010 poll, surveyors asked registered voters in four different New York voting districts whether they would consider voting to ban fracking in the state. Hydraulic fracturing, or "fracking," is a mining process that involves splitting rocks underground to remove natural gas. According to ecologists, environmental damage can occur as a result of fracking, including contamination of water. The results of the 2010 survey are shown in the following table.

In Favor of Ban Against Ban No Opinion Total
District A 23,247 17,106 3,509 43,862
District B 13,024 12,760 2,117 27,901
District C 43,228 49,125 5,891 98,244
District D 30,563 29,771 3,205 63,539
Total 110,062 108,762 14,722 233,546

A random follow-up survey was administered to 500 of the respondents in District C. They were asked if they planned to vote in the next election. The follow-up survey results were: 218 said they planned to vote, 174 said they did not plan to vote, and 108 said they were unsure. Based on the data from both the initial survey and the follow-up survey, which of the following is most likely an accurate statement?

  • A. Approximately 19,000 people in District C who support a ban on fracking can be expected to vote in the next election.
  • B. Approximately 21,000 people in District C who support a ban on fracking can be expected to vote in the next election.
  • C. Approximately 43,000 people in District C who support a ban on fracking can be expected to vote in the next election.
  • D. Approximately 48,000 people in District C who support a ban on fracking can be expected to vote in the next election.

Correct Answer: A

Explanation:

A

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: Scan the answer choices quickly to narrow down the amount of information in the table that you need to analyze. Each choice makes a statement about people from District C who support a ban on fracking that can be expected to vote in the next election.

Getting to the Answer: To extrapolate from the follow-up survey sample, multiply the fraction of people from the follow-up survey who plan to vote in the upcoming election by the number of people in District C who support a ban on fracking (43,228) to get 18,847.408, or approximately 19,000 people.

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