Aisha practises archery. She assumes that each arrow is independent and knows from past experience that the probability of hitting the centre of the target is 0.25.
Aisha shoots 8 arrows. Calculate the probability that at least 3 of the arrows will hit the centre of the target.
Aisha believes she has improved and the chance of hitting the centre of the target is greater than 0.25. She shoots 16 arrows and 7 hit the centre of the target. Stating your hypotheses clearly test, at the 5% level of significance, whether or not there is evidence to support Aisha's belief.
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.