Which of the following is the correct definition of Power?

a. It is the likelihood that an investigator fails to rejects a null hypothesis that is false and should have been rejected.

b. It is the likelihood that an investigator fails to reject a null hypothesis that is true and should have been rejected.

c. It is the likelihood that an investigator rejects a null hypothesis that is true and should have been rejected.

d. It is the likelihood that an investigator rejects a null hypothesis that is true and should not have been rejected.

Which of the following is true about Power?

a.A study conducted with insufficient Power has a high chance of a type 1 error.

b. Whenever you read of a study where they were unable to reject the null hypothesis you should check whether it had enough Power.

c. It is related to the type 1 error rate you set for your study.

d. Given a constant sample size, if you pre-specify a higher type 1 error, the statistical power will decrease.