- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 8. Hypothesis Testing
- Subject 6. The Decision Rule
CFA Practice Question
For the hypothesis test shown at the right, the decision should be to ______.
A. fail to reject H0
B. reject H0
C. accept H0
Explanation: Because the sample data, x-bar 165, has a z-score of 2.5 (the test value) and this z-score is in the critical region (critical value is 1.645, the cutoff for the top 5% of the normal distribution), the decision is to reject H0. That is, we do not believe this sample data came from a population whose mean is 160 or less. Note that the p-value for an x-bar of 165 is 0.6%.
User Contributed Comments 3
User | Comment |
---|---|
Bibhu | I think easier option would be if test value > critical value reject H0. |
jpducros | Bibhu, I think your reasoning won't always work. Here it works because the alternative hypothesis is "> X" and we also have here Test value > Critical value. Have you had the alternative hypothesis "<X", you would have needed a Test value<Critical value to be able to reject Ho. Someone can confirm ? |
kindal | This is correct |