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.
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.