18. If rS = .25, n = 25, set up an inferential proof with the 7...

18. If rS = .25, n = 25, set up an inferential proof with the 7 steps to test the significance of the correlation. (4 points)

Expert Solution

H0 : The significant correlation does not exists between X and Y OR ρ = 0

Ha : The significant correlation exists between X and Y OR ρ ≠ 0

Test statistic : Given r = 0.25 , n = 25

t =

t = 1.238

So | t | = 1.238

Critical value : We assume α = 0.05, and we have n = 25

degrees of freedom (d.f) = n-2 = 23

Using t distribution table , for α ( two tail ) =0.05 and d.f =23

Critical value = 2.069

Rejection region : Reject H0 if | t | ≥ 2.069

Decision rule : As | t | is less than critical value , we fail to reject H0

Conclusion : There is no significant correlation exists between the X and Y

orchestra answered 2 years ago

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