7.53 Surfing the Net Do you use the Internet to gather information for a project? A survey reports that the per- centage of students who used the Internet as their major resource for a school project in a recent year was 66%.14 Suppose that you take a sample of n = 1000 students, and record the number of students who used the Internet as their major resource for their school project during the past year. Let p be the proportion of students surveyed who used the Internet as a major resource in the past year.

a. What is the exact distribution of p? How can you approximate the distribution of p?

b. What is the probability that the sample proportion p exceeds 68%?

c. What is the probability that the sample proportion lies between 64% and 68%?

d. Would a sample proportion of 70% contradict the reported value of 66%?