Suppose I want to use a test to help predict who will quit their jobs before the end of the three-month probation period. 100 new applicants are hired and the test is adminstered to all of them on the first day. Half of them quit before the end of the three month probation period. Discriminant function analysis is used to determin if the test is useful. The chi-square is significant and the success rate of predicting the 'quitters' versus the 'stayers' is 80% what would be the conclusion?
To determine the conclusion, let's break down the information provided:
1. The test is administered to all 100 new applicants on the first day.
2. Half of them quit before the end of the three-month probation period.
3. Discriminant function analysis is used to determine the usefulness of the test.
4. The chi-square test indicates significance.
5. The success rate of predicting the 'quitters' versus the 'stayers' is 80%.
Based on this information, we can make the following conclusions:
1. The test seems to have some predictive power since it can differentiate between those who quit ('quitters') and those who stay ('stayers'), as indicated by the 80% success rate.
2. The chi-square test being significant suggests that the test results are not due to random chance alone.
However, it is important to note that without further context or analysis, we cannot definitively conclude that the test is useful for predicting who will quit their jobs before the end of the three-month probation period. Additional factors such as the sample size, validity, and reliability of the test, as well as possible confounding variables, need to be considered to make a more robust conclusion.