Conduct a full Chisquare hypothesis test to find out if at a
Conduct a full Chi-square hypothesis test to find out if at a 5% significance level there is an association between the gender of a worker and their passing or failing an on-the-job training.
Please use the extra space inside the table to calculate the appropriate expected frequencies and cell level chi square values. . First, please specify if the assumptions of the Chi-square test are met in this example (please be specific).
1. State the two hypotheses
2. Specify alpha
3. Draw the distribution and mark the alpha level, CV, and Rejection region (after you find the value of the test statistic and p-value, show these on the graph as well)
4. State the decision rule
5. Based on the calculated test statistic (inside the table) and the estimated p-value, draw your conclusion and state the type of error your conclusion is subject to.
| Pass | Fail | Row Totals | |
| Males | f0=12 | f0=9 | 21 |
| Females | f0=13 | f0=5 | 18 |
| Column Total | 25 | 14 | 39 |
Solution
