Question

Determine the critical values that would be used in testing each of the following null hypotheses...

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) Ho: ρ = 0 vs. Ha: ρ ≠ 0, with n = 18 and α = 0.05
(smaller value)
(larger value)

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


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

Homework Answers

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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