Stats 2 Chi-Squared Contingency Table Tests Questions, Slides of Applied Statistics

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Stats 2 Chi-Squared Contingency Table Tests Questions

Stats 2 Chi-Squared Contingency Table Tests Questions 2 Year 12 students at Newstatus School choose to participate in one of four sports during the Spring term. The students’ choices are summarised in the table. Squash Badminton Archery Hockey Total Male 5 16 30 19 70 Female 4 20 33 53 110 Total 9 36 63 72 180 (a) Use a 7? test, at the 5% level of significance, to determine whether the choice of sport is independent of gender. (10 marks) (b) Interpret your result in part (a) as it relates to students choosing hockey. (2 marks) 4 It is claimed that the area within which a school is situated affects the age profile of the staff employed at that school. In order to investigate this claim, the age profiles of staff employed at two schools with similar academic achievements are compared. Academia High School, situated in a rural community, employs 120 staff whilst Best Manor Grammar School, situated in an inner-city community, employs 80 staff. The percentage of staff within each age group, for each school, is given in the table. Age Academia Best Manor High School Grammar School 22-34 17.5 40.0 35-39 60.0 45.0 40-59 22.5 15.0 (a) (i) Form the data into a contingency table suitable for analysis using a 7? distribution. (2 marks) (ii) Usea Lr test, at the 1% level of significance, to determine whether there is an association between the age profile of the staff employed and the area within which the school is situated. (9 marks) (b) Interpret your result in part (a)(ii) as it relates to the 22-34 age group. (2 marks)