Hypothesis Tests: For all hypothesis tests, perform the appropriate test, including all 5 steps.
- H0 &H1
- α
- Type of test
- Test Statistic/p-value
- Decision about H0/Conclusion about H1
A doctor claims that more than 25% of the patients that he performs a knee replacement surgery on do not return to work in the first 3 months after the operation. A sample of 40 patients that had a knee replaced by the doctor showed that 15 of them did not return to work within 3 months of the surgery. Test the doctor’s claim at the 0.05 level of significance.