A professor believes that extra time does not improve grades on exams. He randomly divided a group of 365 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 0.02 significance level.
H0: Extra time is independent of grade
Ha: Grade is dependent on extra time given.
| 1 hour | Unlimited time | |
|---|---|---|
| A | 41 | 59 |
| B | 60 | 76 |
| C or less | 70 | 59 |
a. Complete the table: Give all answers as decimals rounded to 4 places.
| Observed Frequency | Expected Frequency | (O−E)2E(�-�)2� |
|---|---|---|
| 41 | ||
| 59 | ||
| 60 | ||
| 76 | ||
| 70 | ||
| 59 | ||
| Total |
(b) What is the chi-square test-statistic for this data?
Test Statistic: χ2=�2=
(d) The p-value is...
(e) The p-value leads to a decision to...
(f) What is the final conclusion?