Fear of public speaking is a common experience across many human cultures. To help people overcome this fear, researchers develop an internet-based telepsychology program for the treatment of this common social phobia. They recruit 50 people who meet a particular social phobia criterion to participate in a study and randomly assign them to either participate in the telepsychology program or to an in-person program with a therapist. At the end of the program, participants are evaluated and are considered "improved" if they no longer meet the social phobia criterion. Results from one iteration of the study are shown in the table below.

Improved Did Not Improve Total
Program 1: Telepsychology 13 9 22
Program 2: In-Person 12 6 18
Total 25 15 40

Required:
a. Calculate the observed difference in the proportion of participants in the telepsychology program and the in-person program that showed improvement
b. Researchers want to determine if there is a difference in results between the two programs, that is, is the telepsychology program better than the in-person program or vice versa? Or, are the two programs roughly the same?