OCR S2 2012 June — Question 3

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2012
SessionJune
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

3 It is known that on average one person in three prefers the colour of a certain object to be blue. In a psychological test, 12 randomly chosen people were seated in a room with blue walls, and asked to state independently which colour they preferred for the object. Seven of the 12 people said that they preferred blue. Carry out a significance test, at the \(5 \%\) level, of whether the statement "on average one person in three prefers the colour of the object to be blue" is true for people who are seated in a room with blue walls.