Ans:
H0:the activity and the time period are
independent for dolphins.
Ha:the activity and the time period are
dependent for dolphins.
|
Observed(fo) |
| Activity |
Morning |
Noon |
Afternoon |
Evening |
Row Total |
| Travel |
6 |
6 |
14 |
13 |
39 |
| Feed |
28 |
4 |
0 |
56 |
88 |
| Social |
38 |
5 |
9 |
10 |
62 |
| Column Total |
72 |
15 |
23 |
79 |
189 |
|
Expected(fe) |
| Activity |
Morning |
Noon |
Afternoon |
Evening |
Row Total |
| Travel |
14.86 |
3.10 |
4.75 |
16.30 |
39 |
| Feed |
33.52 |
6.98 |
10.71 |
36.78 |
88 |
| Social |
23.62 |
4.92 |
7.54 |
25.92 |
62 |
| Column Total |
72 |
15 |
23 |
79 |
189 |
| Chi
square=(fo-fe)^2/fe |
| Activity |
Morning |
Noon |
Afternoon |
Evening |
Row Total |
| Travel |
5.28 |
2.73 |
18.04 |
0.67 |
26.72 |
| Feed |
0.91 |
1.28 |
10.71 |
10.04 |
22.93 |
| Social |
8.76 |
0.00 |
0.28 |
9.77 |
18.81 |
| Column Total |
14.95 |
4.00 |
29.03 |
20.48 |
68.46 |
Test statistic:
Chi square=68.46
df=(3-1)*(4-1)=6
alpha=0.01
critical chi square value=CHIINV(0.01,6)=16.812
As,test statistic chi square is greater than critical chi square
value,so reject the null hypothesis.
There is not enough evidence to conclude that the activity and
the time period are independent for dolphins.
