A study by the Pew Internet and American Life Project (pewinternet.org) found that Americans had a complex and ambivalent attitude toward technology. (Data extracted from M. Himowitz, "How to Tell What Kind of Tech User You Are," Newsday, May 27, 2007, p. F6.) The study reported that 8% of the respondents were "Omnivores" who are gadget lovers, text messengers, and online gamers (often with their own blogs or web pages), video makers, and YouTube posters. You believe that the percentage of students at your school who are Omnivores is greater than 8%, and you plan to carry out a study to prove that this is so.
a. State the null and alternative hypotheses.
b. You select a sample of 200 students at your school and find that 30 students can be classified as Omnivores. Use either the six-step critical value hypothesis-testing approach or the five-step p-value approach to determine at the 0.05 level of significance whether there is evidence that the percentage of Omnivores at your school is greater than 8%.