For each of the following examples explain whether the resea

For each of the following examples, explain whether the researcher has made a correct decision or has made a Type 1 or Type 2 error. Explain why. a) Dr. G rejects the null hypothesis although the independent variable had no effect. b) Dr. R rejects the null hypothesis when it is false. c) Although the independent variable had an effect, Dr. E does not reject the null hypothesis.

Solution

a)

null hyp: There is no effect

Alternative hyp: There is an effect

Dr. G rejects the null hypothesis although the independent variable had no effect. ie., Rejecting H0 when Ho is true is Type I error

b) Dr. R rejects the null hypothesis when it is false. No error it is correct decision

c) Although the independent variable had an effect, Dr. E does not reject the null hypothesis. ie., we accepting H0 when H0 is false. Hence it is Type II error