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A-LevelMathematicsProbability and statisticsOct/Nov 2023Paper 6 Q39 Marks

A researcher read a magazine article which stated that boys aged 1 to 3 prefer green to orange. It claimed that, when offered a green cube and an orange cube to play with, a boy is more likely to choose the green one. The researcher disagrees with this claim. She believes that boys of this age are equally likely to choose either colour. In order to test her belief, the researcher carried out a hypothesis test at the 5% significance level. She offered a green cube and an orange cube to each of 10 randomly chosen boys aged 1 to 3, and recorded the number, X, of boys who chose the green cube. Out of the 10 boys, 8 boys chose the green cube.

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The correct answer is . This question tests the candidate's understanding of probability and statistics within the Mathematicssyllabus. The examiner's mark scheme requires...

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Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) Oct/Nov 2023 examination, Paper 6 Variant 2. It tests the topic of Probability and statistics and is worth 9 marks.

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