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A-LevelMathematicsProbability and statisticsFeb/Mar 2025Paper 6 Q57 Marks

Amir believes that 20% of the students at his college are left-handed. His friend believes that the true proportion, p, is less than 20%. Amir plans to use the binomial distribution to test the null hypothesis, H₀: p = 0.2, against the alternative hypothesis, H₁: p < 0.2. He decides to choose 35 students at random. If 3 or fewer of these students are left-handed, Amir will reject his belief.

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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) Feb/Mar 2025 examination, Paper 6 Variant 2. It tests the topic of Probability and statistics and is worth 7 marks.

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