Soorten hypothesetoetsen

Consider the example of testing a claim about the proportion of healthy and scabbed apples from a cultivar.

In this case, the null hypothesis is stated as the cultivar produces an equal number of healthy and scabbed apples.

Here, the alternative hypothesis can be expressed in three different ways, and based on that, the type of hypothesis test is decided.

One way to state the alternative hypothesis is that the cultivar produces more healthy apples than scabbed apples. In this case, the right-tailed hypothesis test is applicable as the critical region would be at the right tail of the distribution.

When we state that the cultivar produces less number of healthy apples, the critical region would be at the left tail of the distribution. Here, the left-tailed hypothesis test is applicable.

In case of uncertainty of the direction of the hypothesis, we may state that the cultivar produces an unequal number of healthy and scabbed apples. As the critical region would be at both the tails equally, the two-tailed hypothesis test would be applicable.