Question: Although founded only in 2004, Facebook has more than 500 million active users, of which 50% log on to Facebook on any given day. In a recent survey by Facebook, young users (those born after 1984) were asked about their preference for delivering the news about breaking up a relationship (The Wall Street Journal, November 27 -2 8, 2010). One of the shocking results was that only 47% of users preferred to break the news in person. A researcher decides to verify the survey results of Facebook by taking her own sample of 200 young Facebook users. The preference percentages from Facebook and the researcher's survey are presented in the following table.
At the 5% level of significance, test if the researcher's results are inconsistent with the survey results conducted by Facebook. Provide the details, using the p -value approach.