Use the following information for questions 22 to 24. In the past, it is generally agreed that a certain standard treatment yields a mean survival period of 3.5 years for a certain cancer patients....

Find the p-value an state the desision.

Extracted text: Use the following information for questions 22 to 24. In the past, it is generally agreed that a certain standard treatment yields a mean survival period of 3.5 years for a certain cancer patients. Recently, a new treatment is administered to 49 patients and their duration of survival is recorded. The sample mean and standard deviation of the duration is 3.8 years and 0.7 years, respectively. Set up the null and alter native hypotheses to test whether the new treatment increases the mean survival period.