Billy plays darts. He assumes that successive throws are independent, and his long-run probability of hitting the bullseye is 0.20.
Billy throws 9 darts. Calculate the probability that at least 3 hit the bullseye.
Billy believes he has improved. He throws 20 darts and 6 hit the bullseye. Test his belief at the 5% level of significance, stating your hypotheses clearly.
209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.