A physical therapist is concerned that patients are not following the guidelines for at-home exercises to increase mobility after an injury. They would like to test the claim that the average amount of time a physical therapy patientexercises at home weekly is less than 50 minutes. To test this claim, at the 1% significance level,the physical therapistcollects the following data on a sample of 29 physical therapy patients and records the amount of time they exercise at home each week. The following is the data from this study:

Sample size =29 physical therapy patients Sample mean =46.8 minutes Sample standard deviation =10 minutes

Identify the null and alternative hypothesis for this study by fillingin the blanks with the correct symbol (=,,<, or > to represent the correct hypothesis.)

Provide your answer below:

null hypothesis : $\mu$ 50

alternative hypothesis : $\mu$ 50