How do one tailed and two tailed hypothesis tests differ

A one tailed test is when you are testing specifically for an increase or decrease- eg whether the probability of a person buying a product has INCREASED after a marketing change

A two tailed test is when you are testing for a change (increase OR decrease)- eg whether the use of a different type of feed has affected the average weight of chickens

Because the level of significance given in a question is the probability of rejecting null hypothesis if it were true, in a two tailed test the critical region exists at both ends of the distribution curve - the total area in the critical region must equal the level of significance - so if the level of significance was 10%, the critical region at either end must be 5% so that the total probability of results being in the critical region under the null hypothesis is 10%

In a one tailed test the critical region is only at one end of the distribution curve so does not need to be divided by two

KG
Answered by Katie G. Maths tutor

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