The alternative hypothesis is simply the reverse of the null hypothesis, and there are three options, depending on where we expect the difference to lie. If we expect our obtained sample mean to be ab...The alternative hypothesis is simply the reverse of the null hypothesis, and there are three options, depending on where we expect the difference to lie. If we expect our obtained sample mean to be above or below the null hypothesis value, which we call a directional hypothesis, then our alternative hypothesis takes the form: We will set different criteria for rejecting the null hypothesis based on the directionality (greater than, less than, or not equal to) of the alternative.