For a fair spinner, the probability of landing on 3 is 14\displaystyle \frac1441.
The spinner is spun 12 times. Find the probability that it lands on 3 exactly twice.
Find the probability that it lands on 3 more than four times.
Alex believes that the spinner is biased towards 3. She spins it 40 times and it lands on 3 on 15 occasions. Test her claim 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.