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, 26% of admissions officers indicated that they visited an applying student’s social networking page in 2012. A random sample of 100 admissions officers was recently selected and it was found that 35 of them visit the social networking sites of students applying to their college. Using σ = 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 2012?

b. Determine the p value for this test.

c. Use PHStat to validate these results.