Question

True or false?:

8) Power is the probability of making a correct decision when H0 istrue.

9) If one conducts an experiment and ends up failing to reject H0, it’s probably because the experiment was not powerful enough.

10) Increasing sample size, making α more stringent, and increasing the effect of the independent variable all increase power.

11) In general critical t value is greater than critical z value at the same α level.

Answer 1

Part 8

Power of a test is thee probability of rejecting the null hypothesis when in fact the null is false. So the given statement,
Power is the probability of making a correct decision when H0 is true. is FALSE

Part 9

FALSE
Higher the power of the test, lesser is the probability of type 1 error, thus lesser is the p value of the test, thus higher is the chance of failing to reject the null hypothesis

Part 10

TRUE

Increasing the sample size increases the power of the test, so does the effect of the independent variable.

Part 11

TRUE

critical value for t distribution is usually greater than the critical value of standard normal distribution. As the degrees of freedom increase, the critical value decreases closer to the critical z value for the same level of significance.