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Problem-Solving and Data Analysis Difficulty: Hard
Climate Preferences
 WarmCoolNo preferenceTotal
18–35 years old29516845508
36–50 years old24612341410
51–65 years old23811748403
Greater than 65 years old1377864279
Total9164861981,600

According to the 2010 Census, the adult population aged 18 years or greater of the United States in 2010 was 234,564,071. In 2010, a survey was conducted among a randomly chosen sample of adults aged 18 years or greater in the United States about their preference to live in a warm climate or a cool climate. The table below displays a summary of the survey results.

 

Which of the following is closest to the difference between the percentage of adults aged 18–50 years who responded “warm” and the percentage of adults aged 51 years or greater who responded “warm”?

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Explanation

Choice A is correct. The percentage of adults aged 18–50 who responded “warm” is the fraction with numerator 295 plus 246, and denominator 508 plus 410, end fraction, equals the fraction 541 over 918, or about 58.9%. The percentage of adults aged 51 years or greater who responded “warm” is the fraction with numerator 238 plus 137, and denominator 403 plus 279, end fraction, equals the fraction 375 over 682, or about 55.0%. The difference between 58.9% and 55.0% is 3.9%. Of the answer choices, 4% is closest to this number.

Choices B, C, and D are incorrect and may result from calculation errors.