Multiple choice

According to a survey, the adult population of City X was 180,000 in 2018. A survey was conducted among a randomly chosen sample of adults aged 18 years or greater about their preference for sports or leisure activities. The table below summarizes the results: Category Sports Leisure No Preference 18-30 years old 280 150 70 31-45 years old 230 140 80 46-60 years old 210 130 70 Over 60 years 100 50 40 Which of the following is closest to the difference between the percentage of adults aged 18–45 who preferred sports and the percentage of adults aged over 46 who preferred sports?

  1. 2%

  2. 4%

  3. 7%

  4. 9%

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A Correct answer
AI explanation

For the 18 to 45 age group, the total number of adults surveyed is 280 + 150 + 70 + 230 + 140 + 80 = 950, and the number who prefer sports is 280 + 230 = 510. The percentage of adults aged 18 to 45 who prefer sports is (510 / 950) * 100, which is approximately 53.68 percent. For the over 46 age group, the total number of adults is 210 + 130 + 70 + 100 + 50 + 40 = 600, and those who prefer sports number 210 + 100 = 310. The percentage for this over 46 group is (310 / 600) * 100, or about 51.67 percent, making the difference between the two percentages roughly 2 percent.