A study is conducted to investigate if there is a relationship between ground conditions and footwear for injured football players. Ground condition was identified as Dry, Hard or wet and footwear was identified as one of Blade, Moulded and Studs. During one season 267 injured football players were classified according to the ground conditions and footwear.

(a)State the null and alternative hypotheses for the 'Pearson' test statistic provided in the JMP output, and the corresponding degrees of freedom.

(b)i) Write down the general equations for 'Expected', 'Deviation' and 'Cell Chi^2' shown in the JMP output. ii) Calculate these for the cell Ground condition 'Dry' and Footwear used 'Studs'.

(c)What conclusions can be drawn from the chi-squared contingency table test? What further conclusions can be drawn by considering the individual cell differences between the observed and expected values.

(d)What are the assumptions of the Chi Square test and are they violated in this example?

Tests N DF -LogLike RSquare (U) 267 4 20.135819 0.0755 Test ChiSquare Prob> ChiSq Likelihood Ratio 40.272 <.0001 pearson warning: of cells have expected count less than chisquare suspect. contingency table foot wear blade moulde studs total d deviation cell chi dry ground condition hard wet plot moulded>