Compute the total 2 test statistic accurate to two decimals
Compute the total ?2 test statistic accurate to two decimals. Round to the nearest hundredth.
| Observed | A | B | C | Total |
|---|---|---|---|---|
| X | 7 | 18 | 51 | 76 |
| Y | 18 | 35 | 59 | 112 |
| Z | 34 | 26 | 52 | 112 |
| Total | 59 | 79 | 162 | 300 |
Solution
expected frequencies,fe:
fe = (row total * column total) / total
for example:
fe1 = 76*59 / 300 = 14.947
.
test statistic,X^2 = 16.76
| Observed | A | B | C | total |
| X | 7 | 18 | 51 | 76 |
| Y | 18 | 35 | 59 | 112 |
| Z | 34 | 26 | 52 | 112 |
| total | 59 | 79 | 162 | 300 |
