A coin is claimed to be fair. It is tossed 24 times, and X X\,X is the number of heads. A two-tailed test is carried out at the 5% level of significance, using a probability of less than 0.025 in each tail.
State suitable hypotheses.
Find the critical region.
Find the actual significance level.
Eighteen heads are obtained. Complete the test.
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.