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ProbabilityQ&A LibraryIn 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.Question

Asked Nov 29, 2019

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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 *H _{0}* 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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