Question 1 A survey of 450 randomly selected Irish households shows that only 72% have a broadband connection. Infer a 95% confidence interval for the proportion of all Irish households that have broadband connection.

Question 2 At a vehicle testing centre, 45 out of 200 randomly selected vehicles are found to have defective tyres. Infer a 95% confidence interval for the proportion of all vehicles presenting for testing that have defective tyres.