20   Question 5 continued Viola and Dennis make the necessary adjustment to their data. They calculate the χ2 test statistic to be 13.04 (to 2 d.p.) (e) Use this information to complete their χ2 goodness-of-fit test. You must state appropriate hypotheses. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 5 is 11 marks) Turn over 21   6 Russell and Robert are interested in sport. They believe that wearing red may affect the success of a person or team in a sporting competition. Russell finds the following information about the 2004 Olympic games. • Male combatants in combat sports were randomly assigned either a red or a blue outfit. • There was a total of 21 rounds of fighting for these combat sports. • One round had an equal number of red and blue winners. • Four rounds had more blue than red winners • Sixteen rounds had more red than blue winners. [Source: doi:10.1038/435293a] (a) Making any necessary assumptions, use Russell’s data to investigate their belief. Make a full conclusion, in context, about any effect seen, or otherwise. (7) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________