{"id":"cb_question_bank:e451d8c9-eb15-45e6-845f-4d869440f37d","source_id":"cb_question_bank","source_item_id":"e451d8c9-eb15-45e6-845f-4d869440f37d","external_id":null,"ibn":"070922-DC","question_id":"9ee22c16","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.F.","skill":"Inference from sample statistics and margin of error","difficulty":"M","score_band":4,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The town has a total of 6,000 voters. Based on the table, what is the best estimate of the number of voters who plan to vote for Candidate A?","stimulus":"A random sample of 400 town voters were asked if they plan to vote for Candidate A or Candidate B for mayor. The results were sorted by gender and are shown in the table below. Plan to vote for Candidate A Plan to vote for Candidate B Female 202 20 Male 34 144","stimulus_html":"<p class=\"passage_para \">A random sample of 400 town voters were asked if they plan to vote for Candidate A or Candidate B for mayor. The results were sorted by gender and are shown in the table below.</p><table class=\"table_WithBorder\" style=\"width: 33%;\"><thead><tr><td class=\"tcp-538ff2b6-a040-41f0-a6d9-f2db4ed055de\">&nbsp;</td><th class=\"tcp-7252f876-467b-4b75-83f3-42a7b9ea0d26\" scope=\"col\" style=\"text-align: center; vertical-align: middle;\">Plan to vote for Candidate A</th><th class=\"tcp-804cc4d5-a457-47c5-95f5-49ce60f4da4a\" scope=\"col\" style=\"text-align: center; vertical-align: middle;\">Plan to vote for Candidate B</th></tr></thead><tbody><tr><th class=\"tcp-8b717317-305e-4ca7-860c-2bdf416ae748\" scope=\"row\">Female</th><td class=\"tcp-701845a5-58b1-4f34-8ea5-51f0754f3967 para_center\" style=\"text-align: center; vertical-align: middle;\">202</td><td class=\"tcp-84ed49c6-23c5-461e-a80f-bde9ee399820 para_center\" style=\"text-align: center; vertical-align: middle;\">20</td></tr><tr><th class=\"tcp-04f1c22d-cd41-4a63-aae3-3de6b69017a2\" scope=\"row\">Male</th><td class=\"tcp-ce0f36a3-10cd-4148-bce6-5cee344d0a56 para_center\" style=\"text-align: center; vertical-align: middle;\">34</td><td class=\"tcp-4c42829e-5d6c-481e-b2e0-5b71a1d038a9 para_center\" style=\"text-align: center; vertical-align: middle;\">144</td></tr></tbody></table><p></p>\n","stem_html":"<p class=\"passage_para \">The town has a total of 6,000 voters. Based on the table, what is the best estimate of the number of voters who plan to vote for Candidate A?</p><div id=\"level-access-access-assistant-highlight-container\">&nbsp;</div><p></p>\n","rationale_html":"<p>The correct answer is 3,540. According to the table, of 400 voters randomly sampled, the total number of men and women who plan to vote for Candidate A is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e745d7bf7eeb0d86f3a1d52fddf72f5b7c59d6b91803a674cb0376f3cfbe8ee9\" alt=\"202 plus 34 equals 236\"></span>. The best estimate of the total number of voters in the town who plan to vote for Candidate A is the fraction of voters in the sample who plan to vote for Candidate A, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/25bc4eaef24c53f00c697618c7e91661e979dc0bd6f3809e674d76576f7c5ab1\" alt=\"the fraction 236 over 400\"></span>, multiplied by the total voter population of 6000. Therefore, the answer is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f8db5691251a07c5668855cf47167f5b93991bb093809bf61113f8742f8ad9d0\" alt=\"open parenthesis, the fraction 236 over 400, close parenthesis, times, 6000, equals 3540\"></span>.</p>\n","correct_answer":["3"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.633000+00:00","source_updated_at":"2023-08-02T20:25:59.633000+00:00","options":[],"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}}