CAIE S2 2004 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2004
SessionJune
TopicApproximating Binomial to Normal Distribution
TypeOne-tailed hypothesis test

1 Each multiple choice question in a test has 4 suggested answers, exactly one of which is correct. Rehka knows nothing about the subject of the test, but claims that she has a special method for answering the questions that is better than just guessing. There are 60 questions in the test, and Rehka gets 22 correct.
  1. State null and alternative hypotheses for a test of Rehka's claim.
  2. Using a normal approximation, test at the \(5 \%\) significance level whether Rehka's claim is justified.