At a recent meeting of educational researchers comparison we
At a recent meeting of educational researchers comparison were made between the type of college freshmen attend and the numbers who drop out. A random sample of freshmen show the following results: (keep two decimals in calculating expected frequencies)
4Yr public 4Yr private 2Yr public 2Yr private
drop out 10 9 15 9
don\'t drop 26 28 18 27
Use a significance level of .05 and determine if the type of school and the drop out rate are independent
Solution
The test hypothesis:
Null hypothesis: the type of school and the drop out rate are independent
Alternative hypothesis: the type of school and the drop out rate are not independent
| 4Yr public | 4Yr private | 2Yr public | 2Yr private | Total | ||
| drop out | Observed | 10 | 9 | 15 | 9 | 43 |
| Expected | 10.90 | 11.20 | 9.99 | 10.90 | 43.00 | |
| (O - E) |
