CAIE S2 2018 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2018
SessionJune
TopicHypothesis test of a normal distribution

2 A six-sided die is suspected of bias. The die is thrown 100 times and it is found that the score is 2 on 20 throws. It is given that the probability of obtaining a score of 2 on any throw is \(p\).
  1. Find an approximate \(94 \%\) confidence interval for \(p\).
  2. Use your answer to part (i) to comment on whether the die may be biased.