The data below show sport preference and age of participants from a random sample of members of a sports club. Test if sport preference is independent of age at the0.02 significant level.

H₀: Sport preference is independent ofage

Ha: Sport preference is dependent on age

18-25 26-30 31-40 41 and over

Tennis 42 56 60 47

Swimming 57 75 48 66

Basketball 72 61 64 55

a.Complete the table:Give all answersas decimals rounded to4places.

Observed Frequency Expected Frequency [(OE)^2]/E

42

56

60

47

57

75

48

66

72

61

64

55

Total

(b) What is the chi-squaretest-statisticfor this data?

Test Statistic:2=________________

(d) The p-value is...

1. less than (or equal to)
2. greater than

(e) Thep-value leads to a decision to...

1. reject the null
2. fail to reject the null

(f) What is the finalconclusion?

1. There is not sufficient evidence to conclude sport preference is dependent on age.
2. There is sufficient evidence to conclude sport preference is dependent on age.