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.