{"id":"cb_question_bank:1adf42da-6049-40d3-9951-6eb611909cd5","source_id":"cb_question_bank","source_item_id":"1adf42da-6049-40d3-9951-6eb611909cd5","external_id":null,"ibn":"026017-DC","question_id":"90eed2e5","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":"E","score_band":2,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A city has 50 city council members. A reporter polled a random sample of 20 city council members and found that 6 of those polled supported a specific bill. Based on the sample, which of the following is the best estimate of the number of city council members in the city who support the bill?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A city has 50&nbsp;city council members. A reporter polled a random sample of 20&nbsp;city council members and found that 6 of those polled supported a specific bill. Based on the sample, which of the following is the best estimate of the number of city council members in the city who support the bill?</p>\n","rationale_html":"<p>Choice C is correct. Because a random sample of the city council was polled, the proportion of the sample who supported the bill is expected to be approximately equal to the proportion of the total city council who supports the bill. Since 6 of the 20 polled, or 30%, supported the bill, it can be estimated that <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8ca5a94d1f0f9e2d813d1a5ee3497bc2c296550fe996cbbf533ca0f9db360655\" alt=\"50 times 0 point 3\"></span>, or 15, city council members support the bill.</p><p>Choice A is incorrect. This is the number of city council members in the sample who supported the bill. Choice B is incorrect and may result from a computational error. Choice D is incorrect. This is the number of city council members in the sample of city council members who were not polled.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.620000+00:00","source_updated_at":"2023-08-02T20:25:59.620000+00:00","options":[{"label":"A","content_html":"<span class=\"choice_cell align:character align_character:. \">6</span>\n","ord":0},{"label":"B","content_html":"<span class=\"choice_cell align:character align_character:. \">9</span>\n","ord":1},{"label":"C","content_html":"<span class=\"choice_cell align:character align_character:. \">15</span>\n","ord":2},{"label":"D","content_html":"<span class=\"choice_cell align:character align_character:. \">30</span>\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}}