Skip to content

Course home

Hypothesis Testing

Hypothesis Testing

Medium
123456789101112131415161718192021222324252627282930313233
Question 16

A fair six-sided die is rolled 12 times.

ai.

Find the probability that the die shows a 6 exactly 2 times.

[1]
aii.

Find the probability that the die shows a 6 more than 4 times.

[2]
b.

Noah believes that the die is biased and that the probability of rolling a 6 is greater than 16\displaystyle \frac{1}{6}61​. To test this claim, he rolls the die 30 times and obtains a 6 on 10 occasions. Stating your hypotheses clearly, test Noah's claim at the 5% significance level.

[4]
Markscheme

Hypothesis Testing Questions

  1. AS Level
  2. /Maths
  3. /Hypothesis Testing

33 exam-style questions on Edexcel AS Level Maths Hypothesis Testing, covering 7.1 Hypothesis Testing, 7.2 Finding Critical Values, 7.3 One-Tailed Tests, and 7.4 Two-Tailed Tests. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank