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Professor Fair believes that extra time does not improve grades on exams. He randomly divided a...

Professor Fair believes that extra time does not improve grades on exams. He randomly divided a group of 300 students into two groups and gave them all the same test. One group had exactly 1 hour in which to finish the test, and the other group could stay as long as desired. The results are shown in the following table. Test at the 0.01 level of significance that time to complete a test and test results are independent.

Time A B C F Row Total
1 h 22 41 58 10 131
Unlimited 17 45 83 24 169
Column Total 39 86 141 34 300

(a) Find the sample test statistic. (Round your answer to two decimal places.)

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