The student government claims that 80% of all students favor an increase in student fees to buy indoor potted plants for the classrooms. A random sample of 10 students produced 2 in favor of the project. Required:
a. What is the probability that 2 or fewer in the sample will favor the project, assuming the student government's claim is correct?
b. Do the the data support the student government's claim, or does it seem that the percentage favoring the increase in fees is less than 85%?