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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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 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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Rejection rule:...

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If p-value significance level(a), reject the null hypothesis If p-value> significance level(a), do not reject the null hypothesis.

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