For a given H0 and level of significance if you reject the H

For a given H0 and level of significance, if you reject the H0 for a one tailed-test, you would also reject H0 for a two-tailed test. True False

Solution

True

since the level of significance of Two tailed Test is half of level of significance of one tailed test

In one tailed test if we reject null hypothesis if p-value is less than 0.05 say , then in two tailed test we reject null hypothesis if p-value is less than 0.025 for both sides of the critical value .

Hence if we reject for p-value of less than x then we definitely going reject for p-value less than x/2