An increased number of U.S. colleges have been using online resources such as Facebook and Google to research applicants. According to Kaplan Test Prep, 35% of admissions officers indicated that they visited an applying student’s social networking page in 2017. A random sample of 100 admissions officers was recently selected and it was found that 47 of them visit the social networking sites of students applying to their college. Using α = 0.05, answer the following questions:

a. Does this sample provide support for the hypothesis that the proportion of admissions officers who visit an applying student’s social networking page has increased since 2017?

b. Determine the p-value for this test.