{"id":"cb_question_bank:03227496-d5ae-42f7-a86d-fc2f312edb51","source_id":"cb_question_bank","source_item_id":"03227496-d5ae-42f7-a86d-fc2f312edb51","external_id":"f12a8c8c-3eef-4c55-a726-f411ff595181","ibn":null,"question_id":"affb2315","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":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"There are 55 students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, 20 percent sign responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">There are <math alttext=\"55\"><mn>55</mn>\n</math> students in Spanish club. A sample of the Spanish club students was selected at random and asked whether they intend to enroll in a new study program. Of those surveyed, <math alttext=\"20 percent sign\"><mn>20</mn><mo>%</mo></math> responded that they intend to enroll in the study program. Based on this survey, which of the following is the best estimate of the total number of Spanish club students who intend to enroll in the study program?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. It’s given that&nbsp;<math alttext=\"20 percent sign\"><mn>20</mn><mo>%</mo></math> of the students surveyed responded that they intend to enroll in the study program. Therefore, the proportion of students in Spanish club who intend to enroll in the study program, based on the survey, is <math alttext=\"0.20\"><mn>0.20</mn></math>. Since there are <math alttext=\"55\"><mn>55</mn>\n</math> total students in Spanish club, the best estimate for the total number of these students who intend to enroll in the study program is <math alttext=\"55 left parenthesis 0.20 right parenthesis\"><mn>55</mn><mfenced><mn>0.20</mn></mfenced></math>, or <math alttext=\"11\"><mn>11</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the best estimate for the percentage, rather than the total number, of students in Spanish club who intend to enroll in the study program.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the best estimate for the total number of Spanish club students who do not intend to enroll in the study program.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the total number of students in Spanish club.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.835000+00:00","source_updated_at":"2023-08-02T20:25:59.835000+00:00","options":[{"label":"A","content_html":"<p style=\"text-align: left;\"><math alttext=\"11\"><mn>11</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\"><math alttext=\"20\"><mn>20</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p style=\"text-align: left;\"><math alttext=\"44\"><mn>44</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p style=\"text-align: left;\"><math alttext=\"55\"><mn>55</mn>\n</math></p>","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}}