AQA Paper 3 2018 June — Question 17

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2018
SessionJune
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

17 Suzanne is a member of a sports club. For each sport she competes in, she wins half of the matches.
17
  1. After buying a new tennis racket Suzanne plays 10 matches and wins 7 of them.
    Investigate, at the \(10 \%\) level of significance, whether Suzanne's new racket has made a difference to the probability of her winning a match. 17
  2. After buying a new squash racket, Suzanne plays 20 matches. Find the minimum number of matches she must win for her to conclude, at the \(10 \%\) level of significance, that the new racket has improved her performance.