In general, if sample data are such that the null hypothesis is rejected at the
ID: 3437283 • Letter: I
Question
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 .
Explanation / Answer
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
{Yes. If the two-tailed P-value is smaller than , the one-tailed area is also smaller than }