The data below show sport preference and age of participant froma random sample of members of a sports club. Test if sportpreference is independent of age at the 0.05 significant level.
H0: Sport preference is independent of age
Ha: Sport preference is dependent on age
| 18-25 | 26-30 | 31-40 | 41 and over |
|---|
| Tennis | 44 | 59 | 59 | 47 |
|---|
| Swimming | 57 | 77 | 46 | 66 |
|---|
| Basketball | 70 | 58 | 66 | 53 |
|---|
a. Complete the table: Give all answers as decimals rounded to 4places.
Observed
Frequency | Expected
Frequency | (O?E)2E(O-E)2EÂ Â |
|---|
| 44 | | |
| 59 | | |
| 59 | | |
| 47 | | |
| 57 | | |
| 77 | | |
| 46 | | |
| 66 | | |
| 70 | | |
| 58 | | |
| 66 | | |
| 53 | | |
| Total | |
(b) What is the chi-square test-statistic forthis data?
     Test Statistic:?2=?2= Â
(d) The p-value is...
- less than (or equal to) ??
- greater than ??
(e) The p-value leads to a decision to...
- reject the null
- fail to reject the null
(f) What is the final conclusion?
- There is sufficient evidence to conclude sport preference isdependent on age.
- There is not sufficient evidence to conclude sport preferenceis dependent on age.
