Question

Explain the difference between one tail and two tell test?

Answer 1

A statistical test is based on two competing hypothesis The null hypothesis te and til alternchvil_hyfotbesi) Ha The type of alternative hypothes ha difines if a tut is one-tailed. or two-tailed Tuo tailed tuti A two failed tut is associated to an alternative hypothesis for which the sign of the potential difference is un town, for example, Suppose we wish to compare the Average of two samples A and B: Before setting up the experi- ment and running the test une expect that if a differe rence bituneen the two averages is highlighted we do not really know whether A would be higher than B or the opposite This drives us to choose two-tailed test, associated to the following Alternative Hype thisis Hei queres al E Average (3)

one-tailed test A ow-tailed test is associated to an alternative hypothyris for which the sign of the potential difference is known before running the experi- ment and test: example above described in the alternative hypothis related ho one- tiled tut could be unitten as follows Mai average (A) a averan (B) in the aveva avera Sc (13) depending on the expected direction differ en of