Determine the bounds on the pvalue that would be used in tes

Determine the bounds on the p-value that would be used in testing each of the following null hypotheses using the p-value approach.

(a)

H₀: ? = 0 vs. H_a: ? ? 0,

with n = 47 and r = 0.37
? < P < ?

(b)

H₀: ? = 0 vs. H_a: ? > 0,

with n = 9 and r = 0.750
P = ?

(c)

H₀: ? = 0 vs. H_a: ? < 0,

with n = 21 and r = -0.83
P < ?

Solution

(a)

P =0.0105

(b)

P =0.00997

(c)

P <0.0001