At a recent meeting of educational researchers comparison were made between the

Question

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

Explanation / Answer

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)

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