H0: There is independence between age (i.e., adult and teen) and
drink preferences
H1: There is not independence between age (i.e., adult and teen)
and drink preferences
Let the los be alpha = 5%
The expected frequencies are
|
|
Teens |
Adults |
Total |
|
Coffee |
100 |
150 |
250 |
|
Tea |
100 |
150 |
250 |
|
Soft Drink |
160 |
240 |
400 |
|
Other |
40 |
60 |
100 |
|
Total |
400 |
600 |
1000 |
The chi-square contribution values are
|
Oi |
Ei |
(Oi-Ei)^2 /Ei |
|
50 |
100 |
25 |
|
200 |
150 |
16.6667 |
|
100 |
100 |
0 |
|
150 |
150 |
0 |
|
200 |
160 |
10 |
|
200 |
240 |
6.6667 |
|
50 |
40 |
2.5 |
|
50 |
60 |
1.6667 |
|
|
Total: |
62.5001 |
Degrees of freedom: 3
Test Statistic, X^2: 62.5000
Critical X^2: 7.814736
P-Value: 0.0000
Here Test statistic of Chisquare value > Chisquare critical
value and P-value < alpha 0.05 so we reject H0
Thus we conclude that there is not independence between age
(i.e., adult and teen) and drink preferences
Correct answer: Option (A). hypothesis of independence can be
rejected
