A test of H0:p=0.3H_0:p=0.3H0:p=0.3 against H1:p>0.3 H_1:p>0.3\,H1:p>0.3 uses X∼B(20,p)X\sim B(20,p)X∼B(20,p) and rejects H0 H_0\,H0 when X≥10X\geq10X≥10.
Calculate the probability of a Type I error.
Calculate the probability of a Type II error when p=0.5p=0.5p=0.5.
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.