Billy plays darts. He assumes that each dart throw is independent and he knows from past experience that the probability of hitting the bullseye is 0.2
Billy throws 9 darts. Calculate the probability that at least 3 of the darts will hit the bullseye.
Billy believes he has improved and the chance of hitting the bullseye is greater than 0.2. He throws 20 darts and 6 hit the bullseye. Stating your hypotheses clearly test, at the 5% level of significance, whether or not there is evidence to support Billy's belief.
40 exam-style questions on WJEC A Level Maths 2.5 Statistical hypothesis testing, covering 2.5.1 Statistical hypothesis testing, 2.5.2 Statistical hypothesis testing, 2.5.3 Statistical hypothesis testing, 2.5.4 Statistical hypothesis testing, and 2.5 Statistical hypothesis testing. Each one has a worked solution and a mark scheme showing where the marks go.