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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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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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