11. Student Fees A student government states that 80% of all students favor an increase in student fees to subsidize a new recreational area. A random sample of n525 students produced 15 in favor of increased fees.

What is the probability that 15 or fewer in the sample would favor the issue if student government is correct?

Do the data support the student government’s assertion, or does it appear that the percentage favoring an increase in fees is less than 80%?