May/June 2026 Paper 63

2026 · 6 questions · 14 parts · 50 marks

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Context for question 2
Bettie believes that 30% of students at her school are vegetarian. Amir claims that the proportion is less than 30%. In order to test his claim, Amir takes a random sample of 20 students at the school. He finds that exactly 2 students in the sample say that they are vegetarian.
2(a)Hypothesis TestingHard5 marks
Use a binomial distribution to test Amir’s claim at the 2.5% significance level.
State your hypotheses
0 words
Show your method
0 words
under
State your conclusion
0 words
2(b)Hypothesis TestingEasy1 mark
State the smallest significance level at which Amir’s claim would be rejected. Give your answer correct to 3 significant figures.
Smallest significance level