Year 12 hypothesis testing test to download as PDF

This Year 12 hypothesis testing test lasts 60 minutes and is marked out of 20. It covers the whole chapter for pupils aged 16-17, and the full answers are on a separate page.

⏱️ Duration : 60 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – One-tailed test
The probability that a train is on time is claimed to be 0.8. In a sample of 15 trains, 9 are on time. Test at the 5% level whether the probability is lower than claimed.
Question 2 – Critical region
\(X\sim B(25,0.3)\). Find the critical region for a one-tailed test of \(H_0:p=0.3\) against \(H_1:p>0.3\) at the 5% level, and state the actual significance level.
Question 3 – Two-tailed test
A manufacturer claims 50% of customers prefer flavour A. In a sample of 20, 5 prefer A. Test at the 5% level whether the proportion differs from 50%.
Question 4 – Interpreting significance
A test is carried out at the 5% level and \(H_0\) is rejected.
1. Explain what 5% means in this context. (2 marks)
2. Explain why the result does not prove \(H_1\). (2 marks)
Question 5 – Problem: a vaccine
Without a vaccine, 30% of people catch a virus. 20 vaccinated people are monitored and 2 catch it.
1. State hypotheses and test at the 5% level. (3 marks)
2. State the actual significance level of the test. (1 mark)

How to use this Year 12 hypothesis testing test

First, revise with the hypothesis testing lesson and the worksheet. Then sit the test in one go, with a timer set to 60 minutes. After that, mark your work with the hypothesis testing test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 12 hypothesis testing test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.