Andy plays tennis. The probability that Andy will get one of his serves in court is 60%.
Andy serves 20 times. Find the probability Andy gets exactly 15 serves in court.
Andy serves 20 times. Find the probability more than 15 of the serves will be in court.
Andy's coach thinks that the probability of Andy getting a serve in court has changed. Andy serves 50 times in a set and 35 are in court. Stating your hypothesis clearly, test the coach's claim at the 10% significance level.
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.