Question

Hypotheses for a statistical test are given, followed by several possible confidence intervals for different samples. In each case, use the confidence interval to state a conclusion of the test for that sample and give the significance level used. In addition, in each case for which the results are significant, give the sign of the correlation.

Hypotheses: Ho ρ = 0 vs. Ha: ρ ≠ 0

a) 95% confidence interval for ρ: 0.02 to 0.19

Conclusion __________       Ho  
(reject or do not reject)

Significance level: _______  
(95%, 90%, 20%, 5%, 1% or 99%)

Sign of the correlation ________
(Positive, Negative, Not Applicable)

b) 90% confidence interval for ρ: -0.11 to -0.04

Conclusion __________       Ho  
(reject or do not reject)

Significance level: _______  
(95%, 90%, 20%, 5%, 1% or 99%)

Sign of the correlation ________
(Positive, Negative, Not Applicable)

c) 99% confidence interval for ρ: -0.08 to 0.07

Conclusion __________       Ho  
(reject or do not reject)

Significance level: _______  
(95%, 90%, 20%, 5%, 1% or 99%)

Sign of the correlation ________
(Positive, Negative, Not Applicable)

Answer 1