A researcher thinks that if knee surgery patients go to physical therapy three times a week (instead of 2 times), their recovery period will be shorter. Average recovery times for all knee surgery patients is 8.2 weeks (with PT twice a week). The researchers took a random sample of 34 patients who had knee surgery and asked them to do PT three times a week. The average recovery time of the 34 patients was 7.9 weeks.What are the hypotheses?
Question
A researcher thinks that if knee surgery patients go to physical therapy three times a week (instead of 2 times), their recovery period will be shorter. Average recovery times for all knee surgery patients is 8.2 weeks (with PT twice a week). The researchers took a random sample of 34 patients who had knee surgery and asked them to do PT three times a week. The average recovery time of the 34 patients was 7.9 weeks.What are the hypotheses?
Solution
The hypotheses for this research would be:
Null Hypothesis (H0): The average recovery time for knee surgery patients who go to physical therapy three times a week is equal to 8.2 weeks.
Alternative Hypothesis (H1): The average recovery time for knee surgery patients who go to physical therapy three times a week is less than 8.2 weeks.
In this case, the null hypothesis is that the new physical therapy regimen (three times a week) has no effect on the recovery time, and it remains the same as the average recovery time with the old regimen (twice a week). The alternative hypothesis is what the researcher is trying to prove, that the new regimen decreases the recovery time.
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