Hypothesis tests for a binomial proportion: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 5.1 Hypothesis tests for a binomial proportion, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 11 questions on Hypothesis tests for a binomial proportion, as a list
- June 2025, Statistics, Q3 (6 marks): A manufacturer makes components for the car industry. On average 1.5% of the components made are defective. (a) Using a suitable model, find the probability tha
- June 2025, AS Statistics, Q3 (9 marks): A bag contains red counters, green counters and white counters only. The table shows the proportion of each colour of counter that Elsa believes to be in the ba
- June 2024, Statistics, Q4 (6 marks): The proportion of left-handed adults in a country is 10% Freya believes that the proportion of left-handed adults under the age of 25 in this country is differe
- June 2024, AS Statistics, Q4 (8 marks): The random variable X ~ B(27, 0.35) (a) Find (i) P(X = 10) (ii) P(12 X < 15) (3) Historical records show that the proportion of defective items produced by a
- June 2023, Statistics, Q2 (9 marks): A machine fills packets with sweets and 1 7 of the packets also contain a prize. The packets of sweets are placed in boxes before being delivered to shops. Ther
- June 2023, AS Statistics, Q4 (7 marks): Past information shows that 25% of adults in a large population have a particular allergy. Rylan believes that the proportion that has the allergy differs from
- June 2022, Statistics, Q4 (6 marks): A dentist knows from past records that 10% of customers arrive late for their appointment. A new manager believes that there has been a change in the proportion
- June 2022, AS Statistics, Q2 (7 marks): A manufacturer of sweets knows that 8% of the bags of sugar delivered from supplier A will be damp. A random sample of 35 bags of sugar is taken from supplier A
- November 2021, AS Statistics, Q4 (10 marks): A nursery has a sack containing a large number of coloured beads of which 14% are coloured red. Aliya takes a random sample of 18 beads from the sack to make a
- November 2020, AS Statistics, Q5 (8 marks): Afrika works in a call centre. She assumes that calls are independent and knows, from past experience, that on each sales call that she makes there is a probabi
- June 2019, AS Statistics, Q5 (6 marks): Past records show that 15% of customers at a shop buy chocolate. The shopkeeper believes that moving the chocolate closer to the till will increase the proporti
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