The following table shows the results of recent study regarding gender of individuals and their selected field of study.
|
Field of study |
Male |
Female |
TOTAL |
|
Medicine |
80 |
40 |
120 |
|
Business |
60 |
20 |
80 |
|
Engineering |
160 |
40 |
200 |
|
TOTAL |
300 |
100 |
400 |
We want to determine if the selected field of study is independent of gender.
a. Compute the test statistic.
b. Using the p-value approach at 90% confidence, test to see if the field of study is independent of gender.
c. Using the critical method approach at 90% confidence, test for the independence of major and gender.