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. Male Female Total Squash 5 4 9 Badminton 16 20 36 Archery 30 33 63 Hockey 19 53 72 Total 70 110 180 (a) Use a x² test, at the 5% level of significance, to determine whether the choice of sport is independent of gender. (b) Interpret your result in part (a) as it relates to students choosing hockey.

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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.
Male
Female
Total
Squash
5
4
9
Badminton
16
20
36
Archery
30
33
63
Hockey
19
53
72
Total
70
110
180
(a) Use a x² test, at the 5% level of significance, to determine whether the choice of sport
is independent of gender.
(b) Interpret your result in part (a) as it relates to students choosing hockey.
Transcribed Image Text: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. Male Female Total Squash 5 4 9 Badminton 16 20 36 Archery 30 33 63 Hockey 19 53 72 Total 70 110 180 (a) Use a x² test, at the 5% level of significance, to determine whether the choice of sport is independent of gender. (b) Interpret your result in part (a) as it relates to students choosing hockey.
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