Marcus takes basketball free throws. He assumes that each free throw is independent and knows from past experience that the probability of scoring a free throw is 0.3.
Marcus takes 7 free throws. Calculate the probability that at least 3 of the free throws will be scored.
Marcus believes he has improved and the chance of scoring a free throw is greater than 0.3. He takes 15 free throws and scores 9. Stating your hypotheses clearly test, at the 5% level of significance, whether or not there is evidence to support Marcus'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.