3.
Use the data in BUSI1013 Bank Dataset.xlsx(from Unit 1 Exercise Question 2) to perform a statistical test on whether a customer would recommend the Bank to their family and friends before the change is dependent on the gender of the customer. (4 points)
Recommend Before
Gender
Yes
No
Male
28
49
77
Female
22
53
75
50
102
152
Expected
25.33
51.67
24.67
50.33
Difference Square/Expected
0.282
0.138
0.289
0.142
Test Statistic 0.851
H0: whether a customer would recommend the Bank to their family and friends before the
change is not dependent on the gender of the customer
Ha: whether a customer would recommend the Bank to their family and friends before the
change is dependent on the gender of the customer
Let alpha=0.05
d.f.=(1-1)*(2-1)=1
Reject H0 if chi square statistic>3.841
Chi Square statistic=0.851
Since chi square statistic=0.851<3.841, we do not reject H0 and conclude that whether a
customer would recommend the Bank to their family and friends before the change is not
dependent on the gender of the customer
