Mathematics Statistics 2 9709: Hypothesis Testing Using Binomial Distribution Topical Past Paper Questions

A train company claims that 92% of trains on a particular line arrive on time. Sanjeep suspects that the true percentage is less than 92%. He chooses a random sample of 20 trains on this line and finds that exactly 16 of them arrive on time. Making an assumption that should be st…

A headteacher models the number of children who bring a ‘healthy’ packed lunch to school on any day by the distribution B(150, p). In the past, she has found that $ p = \frac{1}{3} $. Following the opening of a fast food outlet near the school, she wishes to test, at the 1% signi…

In a random sample of 200 shareholders of a company, 103 said that they wanted a change in the management. (i) Find an approximate 92% confidence interval for the proportion, p, of all shareholders who want a change in the management. [3] ii) State the probability that a 92% conf…