A hypothesis test at the 5% significance level leads to the rejection of H0H_0H0. Explain why this does not prove that H1 H_1\,H1 is true.
Explain why lowering the significance level from 5% to 1% makes it harder to reject H0H_0H0.
For a two-tailed test on a binomial proportion at a nominal 5% significance level, the critical region chosen has an actual significance level of 2.97%. Explain why the two figures differ, and state the consequence for the test.
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.