Homework SourseA hypothesis test is to be carried out at 005 for a popula
A hypothesis test is to be carried out at ? = 0.05, for a population whose SD is 12. Use the output below to decide how big a sample is needed to bring the type II error probability below 0.2. Show work.
Power and Sample Size
1-Sample Z Test
Testing mean = null (versus not = null)
Calculating power for mean = null + difference Alpha = 0.05
Assumed standard deviation = 12
Sample
Target
Difference
Size
Power
Actual Power
5
29
0.6
0.611752
5
36
0.7
0.705418
5
46
0.8
0.806758
5
61
0.9
0.902220
A. 29
B. 61
C. 46
D. 36
| Sample | Target | ||
| Difference | Size | Power | Actual Power |
| 5 | 29 | 0.6 | 0.611752 |
| 5 | 36 | 0.7 | 0.705418 |
| 5 | 46 | 0.8 | 0.806758 |
| 5 | 61 | 0.9 | 0.902220 |
Solution
Answer : C. 46
