If you could explain the answers I would appreciate it. Show your understanding
ID: 3153187 • Letter: I
Question
If you could explain the answers I would appreciate it.
Show your understanding of power:
(a) A test has power 0.85 when = 10. Select all that are true:
1- The probability of making a correct decision when = 10 is 0.15.
2- The probability of making a correct decision when = 10 is 0.85.
3- The probability that H0 is true when = 10 is 0.15.
4- The probability of rejecting H0 when = 10 is 0.85.
A test has power 0.90 when = 7.5. Select all that are true:
1- The probability that H0 is false when = 7.5 is 0.90.
2- The probability of making a type I error when = 7.5 is 0.90.
3- The probability of making a type II error when = 7.5 is 0.10.
4- The probability of making a type I error when = 7.5 is 0.10.
5- The probability of rejecting H0 when = 7.5 is 0.90.
6- The probability of making a type II error when = 7.5 is 0.90
Explanation / Answer
Power= 1- Type(II error) = 1- P(Accepting H0 when H0 is false)
= Rejecting H0 when H0 is false
1) A test has power 0.85 when = 10.
The probability of rejecting H0 when = 10 is 0.85.
2) A test has power 0.90 when = 7.5
The probability of rejecting H0 when = 7.5 is 0.90
The probability of making a type II error when = 7.5 is 0.10.