In general if sample data are such that the null hypothesis

In general, if sample data are such that the null hypothesis is rejected at the = 1% level of significance based on a two-tailed test, is H₀ also rejected at the = 1% level of significance for a corresponding one-tailed test? Explain your answer.

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

Solution

Yes, because 2-tailed area is twice of 1 tailed area, and if we reject a 2 tailed hypothesis, it implies that 2 tailed ( therefore 1 tailed area) is less than 0.01

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