A test of H0:p=0.2H_0:p=0.2H0:p=0.2 against H1:p>0.2 H_1:p>0.2\,H1:p>0.2 uses a sample of 40 and rejects H0 H_0\,H0 when X≥13X\geq13X≥13.
Show that the probability of a Type I error is less than 5%.
Calculate the probability of a Type II error when p=0.35p=0.35p=0.35.
8 exam-style questions on WJEC A Level Maths 2.5.4 Statistical hypothesis testing. Each one has a worked solution and a mark scheme showing where the marks go.