SOLUTION: The following hypotheses are given. H0(small zero):p < or equal to 0 H1 (small one):p > 0 A random sample of 15 paired observations have a correlation of -.46. Can we conc

Question 774927: The following hypotheses are given.
H0(small zero):p < or equal to 0
H1 (small one):p > 0
A random sample of 15 paired observations have a correlation of -.46. Can we
conclude that the correlation in the population is less than zero? Use the.05
significance (Lind. Statistical Techniques in Business & Economics. 2012)
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Question:
The following hypotheses are given.
:p ≤ 0
):p > 0
A random sample of 15 paired observations have a correlation of -.46. Can we
conclude that the correlation in the population is less than zero? Use the.05
significance (Lind. Statistical Techniques in Business & Economics. 2012)
---------------------------------------------------------------------------
Answer:
The hypotheses should be
:p ≥ 0
:p < 0
α = .05
Test Statistic: t, df = 13
Critical Value: -1.7709
t = = = -1.8679
P-Value: 0.0422
Reject because the p-value is less than α = .05. Sample provides evidence to support the claim that the correlation in the population is less than zero.
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