SAT Math Multiple Choice Question 861: Answer and Explanation

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Test Information

Question: 861

6. In a survey of 1,600 adults in the United States, 48% indicated that television istheir primary source of news. The margin of error for the survey is ±2.5%. Which valueis outside the interval that is likely to contain the exact percent of all adultsin the United States who get the news primarily from television?

  • A. 45
  • B. 47
  • C. 49
  • D. 50

Correct Answer: A

Explanation:

A

Difficulty: Easy

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: When the sample size of a random survey is sufficiently large, the margin of error provides a limit on how much the sample would differ from the responses of the population.

Getting to the Answer: To find the limit on how much the sample size would differ, add and subtract the margin of error:

48% - 2.5% = 45.5% and 48% + 2.5% = 50.5%

Based on this survey, the exact percent of all adults in the United States who get the news primarily from television should fall between 45.5% and 50.5%. The only answer choice that is outside this range is 45%, making (A) the correct answer.

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