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 finish a test and test results are independent.

Time A B C F ROW TOTAL

1HR 21 41 59 15 136

UNLMT 19 45 83 17 164

C TOTAL 40 86 142 32 300

(A)State the null and alternate hypotheses.

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

(C)Find or estimate theP-value of the sample test statistic. (Round your answer to three decimal places.)

(D)Conclude the test.

(E)Interpret the conclusion in the context of the application.