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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