Hypotheses: H 0 : = 0 vs H a : 0. In addition, in each case for which the results are significant,

Hypotheses: H₀: ρ = 0 vs H_a: ρ ≠ 0. In addition, in each case for which the results are significant, give the sign of the correlation.
(a) 95% confidence interval for ρ: 0.07 to 0.15
(b) 90% confidence interval for ρ: −0.39 to −0.78
(c) 99% confidence interval for ρ: −0.06 to 0.03

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.