Mathematics (AS & A Level) · Feb / March 2025 · Paper 62 · Question 5

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, : . p 0 2 H0 = , against the alternative hypothesis, : . p 0 2 H1 1 . 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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