Question

In: Statistics and Probability

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 23 41 66 13 143
Unlimited 18 49 84 6 157
Column Total 41 90 150 19 300

Classify the problem as one of the following: Chi-square test of independence or homogeneity, Chi-square goodness of fit, Chi-square for testing σ2 or σ.

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

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