In: Statistics and Probability
A recent sample of 401 single persons were asked if they would marry someone who was $25,000 or more in debt. Test at 10% significance whether the distribution of response depends on gender.
Yes |
Uncertain |
No |
|
Women |
125 |
59 |
21 |
Men |
101 |
79 |
16 |
Solution:
Step-1:State the hypothesis
H0: Response and gender are independent .
H1:Response and gender are dependent .
Yes | Uncertain | No | |
Women | 125 | 59 | 21 |
Men | 101 | 79 | 16 |
tep-2:Observed Frequencies
B1 | B2 | B3 | Total | |
A1 | 125 | 59 | 21 | 205 |
A2 | 101 | 79 | 16 | 196 |
Total | 226 | 138 | 37 | 401 |
So we conclude that Response and gender are dependent .