In general, if sample data are such that the null hypothesis is rejected at the α = 1% level of significance based on a two-tailed test, is H0 also rejected at the α = 1% level of significance for a corresponding one-tailed test? Explain your answer. No. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.Yes. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.    No. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.Yes. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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In general, if sample data are such that the null hypothesis is rejected at the α = 1% level of significance based on a two-tailed test, is H0 also rejected at the α = 1% level of significance for a corresponding one-tailed test? Explain your answer.

No. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.Yes. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.    No. If the two-tailed P-value is smaller than α, the one-tailed area is also smaller than α.Yes. If the two-tailed P-value is smaller than α, the one-tailed area will be larger than α.
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