HSM 497 Norfolk State University Statistical Tests for Hypothesis Worksheet

I’m working on a health & medical writing question and need an explanation and answer to help me learn.

Chapter 12 of Froister & Blessing (pp. 173) discusses one-tailed and two-tailed t-tests. Statisticians characteristically include the equal-sign component in the null Hypothesis (H0). This means that the null hypothesis of a two-tailed test of two means would appear as:

H0: (Mean)1 = (Mean)2 with alternative hypothesis H1: (Mean)1 ? (Mean)2.

Had we created a one-tailed test of means, the null and alternative hypotheses would appear as:

H0: (Mean)1 ? (Mean)2 with H1: (Mean)1 > (Mean)2, or

H0: (Mean)1 ? (Mean)2 with H1: (Mean)1 < (Mean)2.

1) What is the graphical relationship of the signs in the alternative hypothesis to the area of rejection of the null hypothesis?