the authors of a paper studied a random sample of 351 twitters 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 oin the type of message 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 52 63 64 99 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 a=0.05.

find the test statistic and P value. use SALT. round your test statistic to three decimal places and your P value to four decimal places.