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A professor believes that extra time does not improve grades on exams. He randomly divided a group of 366 students into two groups and

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A professor believes that extra time does not improve grades on exams. He randomly divided a group of 366 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 the claim that the time to complete a test and test results are independent at the 0.01 significance level Ho Extra time is independent of grade Ha Grade is dependent on extra time given 222 Unlimited time A B Cor less 1 hour 44 60 71 1764 59 a. Complete the table: Give all answers as decimals rounded to 4 places Observed Frequency Expected Frequency (O-B) E 44 56 60 76 71 59 Total (b) What is the chi-square test statistic for this data? Test Statistic (d) The p-value is... Ogreater than a O less than (or equal to) a (e) The p-value leads to a decision to... O reject the null hypothesis O fail to reject the null hypothesis (1) What is the final conclusion? O There is not sufficient evidence to conclude grade is dependent on extra time There is sufficient evidence to conclude grade is dependent on extra time

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