The authors of a paper studied a random sample of 347 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 МЕ Me now (what I am doing now) 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 МЕ Observed count 52 60 64 99 72 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.)

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Find the test statistic and P-value. (Use technology. Round your test statistic to three decimal places and your P-value to four decimal places.)
x2
%3D
P-value =
Transcribed Image Text:Find the test statistic and P-value. (Use technology. Round your test statistic to three decimal places and your P-value to four decimal places.) x2 %3D P-value =
The authors of a paper studied a random sample of 347 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
МЕ
Me now (what I am doing now)
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
Observed count
52
60
64
99
72
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.)
Let P1, P21 P31 P4r
and P5
be the proportions of Twitter users falling into the five categories.
Transcribed Image Text:The authors of a paper studied a random sample of 347 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 МЕ Me now (what I am doing now) 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 Observed count 52 60 64 99 72 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.) Let P1, P21 P31 P4r and P5 be the proportions of Twitter users falling into the five categories.
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