Question

question 1: What type of Error is each part.

H0 : New system is no better than the old one

     H1 : New system is better.

I. A new system is adopted, when the new one really is better.

                a. correct decision                  b) Type II error                     c) Type I error

II. The old system is retained, when really the new one is better.

                a. correct decision                  b) Type II error                     c) Type I error

III. The old system is retained, when indeed the new one is no better.

                a. correct decision                  b) Type II error                     c) Type I error

IV. A new system is adopted, when in fact the new one is no better.

                a. correct decision                  b) Type II error                     c) Type I error

Answer 1

Type I error is rejecting the true null hypothesis

Type II error is not rejecting the false null hypothesis

I. Here new system is adopted when it was better. Hence answer is a. correct decision

II. Here old one is retained, when new one is better. This is failing to reject the false null hypothesis. Hence answer is b) Type II error

III. The old system is retained, when indeed the new one is no better. Hence a) correct decision.

IV. A new system is adopted, when in fact the new one is no better, hence we have rejected the true null hypothesis. Hence it is c)Type I error