{"id":"cb_question_bank:dd10b902-846b-47d1-8a62-0081b58cdf0d","source_id":"cb_question_bank","source_item_id":"dd10b902-846b-47d1-8a62-0081b58cdf0d","external_id":"ec66cd13-3613-4629-8a7c-c4dbfb4b53f7","ibn":null,"question_id":"916ffe9b","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":"H","score_band":7,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Poll Results Angel Cruz 483 Terry Smith 320 The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win?","stimulus":"","stimulus_html":null,"stem_html":"
\n\n\n\n\n\n\n\n\n\n\n\n

Poll Results

Angel Cruz483\n
Terry Smith320\n
\n

The table shows the results of a poll. A total of 803\n voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424\n people vote in the election, by how many votes would Angel Cruz be expected to win?

","rationale_html":"

Choice B is correct. It's given that 483\n out of 803\n voters responded that they would vote for Angel Cruz. Therefore, the proportion of voters from the poll who responded they would vote for Angel Cruz is 483803. It’s also given that there are a total of 6,424\n voters in the election. Therefore, the total number of people who would be expected to vote for Angel Cruz is 6,424483803, or 3,864\n. Since 3,864\n of the 6,424\n total voters would be expected to vote for Angel Cruz, it follows that 6,424-3,864, or 2,560\n voters would be expected not to vote for Angel Cruz. The difference in the number of votes for and against Angel Cruz is 3,864-2,560, or 1,304\n votes. Therefore, if 6,424\n people vote in the election, Angel Cruz would be expected to win by 1,304\n votes.

\n

Choice A is incorrect. This is the difference in the number of voters from the poll who responded that they would vote for and against Angel Cruz.

\n

Choice C is incorrect. This is the total number of people who would be expected to vote for Angel Cruz.

\n

Choice D is incorrect. This is the difference between the total number of people who vote in the election and the number of voters from the poll.

","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":true,"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":"

163\n

","ord":0},{"label":"B","content_html":"

1,304\n

","ord":1},{"label":"C","content_html":"

3,864\n

","ord":2},{"label":"D","content_html":"

5,621\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}}