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A trucking company wants to find out if their drivers are still alert after driving long...

A trucking company wants to find out if their drivers are still alert after driving long hours. So, they give a test for alertness to two groups of drivers. They give the test to 400 drivers who have just finished driving 4 hours or less and they give the test to 585 drivers who have just finished driving 8 hours or more. The results of the tests are given below.

Passed Failed
Drove 4 hours or less 310 90
Drove 8 hours or more 415 170

Is there is a relationship between hours of driving and alertness? (Do a test for independence.) Test at the 1 % level of significance.

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