- 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 below, the decision should be to ______.
A. reject Ha
B. reject H0
C. fail to reject H0
Explanation: Because the sample data, x-bar 16.8, has a z-score of -0.82 (the test value) and this z-score is not in the critical region (critical value is -2.33, the cutoff for the bottom 1% of the normal distribution), the decision is to fail to reject H0. That is, we believe this sample data came from a population whose mean is 17 or more. Note that the p-value for an x-bar of 16.8 is 0.2119 or about 21%.
User Contributed Comments 2
User | Comment |
---|---|
dimanyc | Your rejection region here is everything below the critical value. Since the test value is above it, you don't reject. |
hannovanwyk | - remember that this is a one tailed test, and that a test statistic greater than 0 would be problematic given that it's standardized. i would say acceptance region -2.33<=x<=0 |