12.3 The authors of the paper “Is It Really About Me?

Message Content in Social Awareness Streams”

(Computer Supported cooperative Work 2010) studied a random sample of 350 Twitter users. For each Twitter user in the sample, the “tweets” sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent:

Category Description IS Information sharing OC Opinions and complaints RT Random thoughts ME Me now (what I am doing now)

O Other The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).

Twitter Type IS OC RT ME O Observed count 51 61 64 101 73 Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05. (Hint: See Example 12.2.)