{"id":"cb_question_bank:110cea02-ddef-4d72-9b1d-f8f456614760","source_id":"cb_question_bank","source_item_id":"110cea02-ddef-4d72-9b1d-f8f456614760","external_id":null,"ibn":"028921-DC","question_id":"37930b2a","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.G.","skill":"Evaluating statistical claims: Observational studies and experiments","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Residents of a town were surveyed to determine whether they are satisfied with the concession stand at the local park. A random sample of 200 residents was selected. All 200 responded, and 87% said they are satisfied. Based on this information, which of the following statements must be true? I. Of all the town residents, 87% would say they are satisfied with the concession stand at the local park. II. If another random sample of 200 residents were surveyed, 87% would say they are satisfied.","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Residents of a town were surveyed to determine whether they are satisfied with the concession stand&nbsp;at the local park. A random sample of 200&nbsp;residents was selected. All 200 responded, and&nbsp;87% said they are satisfied. Based on this information, which of the following statements must&nbsp;be true?</p><p class=\"list_paragraph \">I. Of all the town residents, 87% would say they are satisfied with the concession stand at the local park.<br>\nII. If another random sample of 200&nbsp;residents were surveyed, 87% would&nbsp;say they are satisfied.</p><p></p>\n","rationale_html":"<p>Choice A is correct. The purpose of surveying a random sample of residents is to approximate the percent of the town residents that are satisfied with the concession stand. The sample doesn’t necessarily get the same result as surveying every resident of the town, nor would another sample necessarily have identical results. Therefore, although it’s possible that either statement I or statement II could prove true by surveying every resident of the town, these statements cannot be proven true solely based on the results of the sample.</p><p>Choice B is incorrect because surveying a sample of the town residents may not have the same result as surveying all the town residents. Choices C and D are incorrect because surveying a different sample of residents could yield different results.</p><p></p>\n","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.623000+00:00","source_updated_at":"2023-08-02T20:25:59.623000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">Neither</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">I only</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">II only</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">I and II</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}}