Marcus works in a factory. The probability that an item Marcus inspects is faulty is 40%.
Marcus inspects 20 items. Find the probability that exactly 10 of the items are faulty.
Marcus inspects 20 items. Find the probability that more than 10 of the items are faulty.
Marcus's manager thinks that the probability of an item being faulty has changed. Marcus inspects 20 items from a delivery and 14 are faulty. Stating your hypothesis clearly, test the manager's claim at the 10% significance level.
33 exam-style questions on Edexcel AS Level Maths Hypothesis Testing, covering 7.1 Hypothesis Testing, 7.2 Finding Critical Values, 7.3 One-Tailed Tests, and 7.4 Two-Tailed Tests. Each one has a worked solution and a mark scheme showing where the marks go.