In a Pew Research poll, 42% of adult Americans had a positive view of socialism. You conduct a survey of 200 randomly selected students at your school and find that 103 have a positive view of socialism.
(a) Approximate the probability that, in a random sample of 200 students, at least 103 would have a positive view of socialism, assuming the true percentage is 42%.
(b) Explain what this result suggests.