{"id":"cb_question_bank:a9ce60da-8eb4-46d0-bcab-0315763fe9e8","source_id":"cb_question_bank","source_item_id":"a9ce60da-8eb4-46d0-bcab-0315763fe9e8","external_id":null,"ibn":"070907-DC","question_id":"55818046","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"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”?","stimulus":"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. Climate Preferences Warm Cool No preference Total 18–35 years old 295 168 45 508 36–50 years old 246 123 41 410 51–65 years old 238 117 48 403 Greater than 65 years old 137 78 64 279 Total 916 486 198 1,600","stimulus_html":"<p class=\"passage_para \">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.</p><div class=\"table_wrapper \"><table class=\"table_WithBorder\" style=\"width: 50%;\"><caption>Climate Preferences</caption><thead><tr class=\"row valign:bottom \"><td class=\"entry colname:col1\" style=\"text-align: center; vertical-align: middle;\">&nbsp;</td><th class=\"entry colname:col2\" scope=\"col\" style=\"text-align: center; vertical-align: middle;\">Warm</th><th class=\"entry colname:col3\" scope=\"col\" style=\"text-align: center; vertical-align: middle;\">Cool</th><th class=\"entry colname:col4\" scope=\"col\" style=\"text-align: center; vertical-align: middle;\">No preference</th><th class=\"entry colname:col5\" scope=\"col\" style=\"text-align: center; vertical-align: middle;\">Total</th></tr></thead><tbody class=\"tbody \"><tr class=\"row \"><th class=\"entry colname:col1\" scope=\"row\" style=\"text-align: left; vertical-align: middle;\">18–35 years old</th><td class=\"entry colname:col2 para_center\" style=\"text-align: center; vertical-align: middle;\">295</td><td class=\"entry colname:col3 para_center\" style=\"text-align: center; vertical-align: middle;\">168</td><td class=\"entry colname:col4 para_center\" style=\"text-align: center; vertical-align: middle;\">45</td><td class=\"entry colname:col5 para_center\" style=\"text-align: center; vertical-align: middle;\">508</td></tr><tr class=\"row \"><th class=\"entry colname:col1\" scope=\"row\" style=\"text-align: left; vertical-align: middle;\">36–50 years old</th><td class=\"entry colname:col2 para_center\" style=\"text-align: center; vertical-align: middle;\">246</td><td class=\"entry colname:col3 para_center\" style=\"text-align: center; vertical-align: middle;\">123</td><td class=\"entry colname:col4 para_center\" style=\"text-align: center; vertical-align: middle;\">41</td><td class=\"entry colname:col5 para_center\" style=\"text-align: center; vertical-align: middle;\">410</td></tr><tr class=\"row \"><th class=\"entry colname:col1\" scope=\"row\" style=\"text-align: left; vertical-align: middle;\">51–65 years old</th><td class=\"entry colname:col2 para_center\" style=\"text-align: center; vertical-align: middle;\">238</td><td class=\"entry colname:col3 para_center\" style=\"text-align: center; vertical-align: middle;\">117</td><td class=\"entry colname:col4 para_center\" style=\"text-align: center; vertical-align: middle;\">48</td><td class=\"entry colname:col5 para_center\" style=\"text-align: center; vertical-align: middle;\">403</td></tr><tr class=\"row \"><th class=\"entry align:left colname:col1\" scope=\"row\" style=\"text-align: left; vertical-align: middle;\">Greater than<span class=\"formatted_line_break delivery_mode:Both \"> 65 years old</span></th><td class=\"entry colname:col2 para_center\" style=\"text-align: center; vertical-align: middle;\">137</td><td class=\"entry colname:col3 para_center\" style=\"text-align: center; vertical-align: middle;\">78</td><td class=\"entry colname:col4 para_center\" style=\"text-align: center; vertical-align: middle;\">64</td><td class=\"entry colname:col5 para_center\" style=\"text-align: center; vertical-align: middle;\">279</td></tr><tr class=\"row \"><th class=\"entry align:left colname:col1 para_center\" scope=\"row\" style=\"text-align: center; vertical-align: middle;\">Total</th><td class=\"entry colname:col2 para_center\" style=\"text-align: center; vertical-align: middle;\">916</td><td class=\"entry colname:col3 para_center\" style=\"text-align: center; vertical-align: middle;\">486</td><td class=\"entry colname:col4 para_center\" style=\"text-align: center; vertical-align: middle;\">198</td><td class=\"entry colname:col5 para_center\" style=\"text-align: center; vertical-align: middle;\">1,600</td></tr></tbody></table></div><div id=\"level-access-access-assistant-highlight-container\">&nbsp;</div><p></p>\n","stem_html":"<p class=\"stem_paragraph \">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&nbsp;years or greater who responded “warm”?</p>\n","rationale_html":"<p>Choice A is correct. The percentage of adults aged 18–50 who responded “warm” is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7fca06c1eff64f769a9334c58f26dc5eed2fd2e9e7024742b9bddfcb04ae6d4a\" alt=\"the fraction with numerator 295 plus 246, and denominator 508 plus 410, end fraction, equals the fraction 541 over 918\"></span>, or about 58.9%. The percentage of adults aged 51 years or greater who responded “warm” is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/010b5dfdda8f815a318edf3feb536f286a4cb696f0164dec0507c20671267b63\" alt=\"the fraction with numerator 238 plus 137, and denominator 403 plus 279, end fraction, equals the fraction 375 over 682\"></span>, 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.</p><p>Choices B, C, and D are incorrect and may result from calculation errors.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.632000+00:00","source_updated_at":"2023-08-02T20:25:59.632000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">4%</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">5%</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">10%</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">18%</p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}