CAIE S2 2020 November — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2020
SessionNovember
TopicHypothesis test of a normal distribution

2 A six-sided die has faces marked \(1,2,3,4,5,6\). When the die is thrown 300 times it shows a six on 56 throws.
  1. Calculate an approximate \(96 \%\) confidence interval for the probability that the die shows a six on one throw.
  2. Maroulla claims that the die is biased. Use your answer to part (a) to comment on this claim.