Question

Determine the critical values that would be used in testing each of the following null hypotheses using the classical approach. (Give your answers correct to three decimal places.)

(a) H_o: ρ = 0 vs. H_a: ρ ≠ 0, with n = 18 and α = 0.05
(smaller value)
(larger value)

(b) H_o: ρ = 0 vs. H_a: ρ > 0, with n = 32 and α = 0.01


(c) H_o: ρ = 0 vs. H_a: ρ < 0, with n = 16 and α = 0.05

Answer 1

ANSWER::

Part a

Test is two tailed.

df = n - 1 = 18 - 1 = 17

α = 0.05

Critical value = ±2.110

Part b

Test is an upper tailed.

df = n - 1 = 32 - 1 = 31

α = 0.01

Critical value = 2.453

Part c

Test is a lower tailed.

df = n - 1 = 16 - 1 = 15

α = 0.05

Critical value = -1.753

[All critical values are calculated by using t-table]

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