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 395 drivers who have just finished driving 4 hours or less and they give the test to 565 drivers who have just finished driving 8 hours or more. The results of the tests are given below.

PassedFailed

Drove 4 hours or less290105

Drove 8 hours or more350215

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