{"id":"cb_question_bank:80094348-aed9-4733-b3a1-834003f0fac6","source_id":"cb_question_bank","source_item_id":"80094348-aed9-4733-b3a1-834003f0fac6","external_id":null,"ibn":"029303-DC","question_id":"0108ac2d","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":"At a large high school, 300 students were selected at random and were asked in a survey about a menu change in the school cafeteria. All 300 students completed the survey. It was estimated that 38% of the students were in support of a menu change, with a margin of error of 5.5%. Which of the following is the best interpretation of the survey results?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">At a large high school, 300 students were selected at random and were asked in a survey about a menu change in the school cafeteria. All 300 students completed the survey. It was estimated that 38% of the students were in support of a menu change, with a margin of error of 5.5%. Which of the following is the best interpretation of the survey results?</p>\n","rationale_html":"<p>Choice C is correct. It’s given that an estimated 38% of sampled students at the school were in support of a menu change, with a margin of error of 5.5%. It follows that the percent of the students at the school who support a menu change is 38% plus or minus 5.5%. The lower bound of this estimation is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8d540a007ca749b19496b6335fa2f7e5673b97244d026a5314331ed1d9e911e6\" alt=\"38 minus 5 point 5\"></span>, or 32.5%. The upper bound of this estimation is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c6317a2886684636e6bfe781601ca677abd779fc232959a7b9ded34eb7d0a5fd\" alt=\"38 plus 5 point 5\"></span>, or 43.5%. Therefore, plausible values of the percent of the students at the school who support a menu change are between 32.5% and 43.5%.</p><p>Choice A is incorrect. This is the percent of the sampled students at the school who support a menu change. Choices B and D are incorrect and may result from misinterpreting the margin of error.</p><p>&nbsp;</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.624000+00:00","source_updated_at":"2023-08-02T20:25:59.624000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The percent of the students at the school who support a menu change is 38%.</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The percent of the students at the school who support a menu change is greater than 38%.</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">Plausible values of the percent of the students at the school who support a menu change are between 32.5% and 43.5%.</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">Plausible values of the number of the students at the school who support a menu&nbsp;change are between 295 and 305.</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}}