Suppose in a two-tailed test of H 0 : = 0 vs H a :
Question:
Suppose in a two-tailed test of H0: ρ = 0 vs Ha: ρ ≠ 0, we reject H0 when using a 5% significance level. Which of the conclusions below (if any) would also definitely be valid for the same data? Explain your reasoning in each case.
(a) Reject H0: ρ = 0 in favor of Ha: ρ ≠ 0 at a 1% significance level.
(b) Reject H0: ρ = 0 in favor of Ha: ρ ≠ 0 at a 10% significance level.
(c) Reject H0: ρ = 0 in favor of the one-tail alternative, Ha : ρ > 0, at a 5% significance level, assuming the sample correlation is positive.
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Related Book For
Statistics, Enhanced Unlocking The Power Of Data
ISBN: 9781119308843
2nd Edition
Authors: Robin H Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F Lock, Dennis F Lock
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