A hypothesis test for a binomial proportion is carried out at the 5% significance level, using a random sample from a large population.
Explain what is meant by the significance level of the test.
Explain why the conclusion of the test is a statement about the population and not about the sample.
State the effect on the conclusion of using a 1% significance level instead of a 5% level, when the p-value of the test is 0.03.
316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.