Responses to a CNN poll to a survey questionnaire are broken
Responses to a CNN poll to a survey questionnaire are broken down according to employment status and the sample results are shown below.At the 0.10 significance level, test the claim that the response to the questionnaire and employment status is independent.
Yes
No
Undecided
Employed
30
15
5
Unemployed
20
25
10
| Yes | No | Undecided | |
| Employed | 30 | 15 | 5 |
| Unemployed | 20 | 25 | 10 |
Solution
The test hypothesis:
Ho: the response to the questionnaire and employment status is independent (i.e. null hypothesis)
Ha: the response to the questionnaire and employment status is not independent (i.e. alternative hypothesis)
| Yes | No | Undecided | Total | ||
| Employed | Observed | 30 | 15 | 5 | 50 |
| Expected | 23.81 | 19.05 | 7.14 | 50.00 | |
| (O - E) |
