Mathematics 7356: Statistical Hypothesis Testing Topical Past Paper Questions

The proportion of vegans in a city is thought to be 8% The owner of an organic food café in this city believes that the proportion of their customers who are vegan is greater than 8% To test this belief, a random sample of 50 customers at the café were interviewed and it was foun…

It is believed that 25% of the customers at a bakery buy a loaf of bread. In an attempt to increase this proportion, the manager of the bakery provided free samples for the customers to taste. (a) To decide whether providing free samples had been effective, a large random sample…

Yingtai visits her local gym regularly. After each visit she chooses one item to eat from the gym's cafe. This could be an apple, a banana or a piece of cake. She chooses the item independently each time. The probability that Yingtai chooses each of these items on any visit is gi…