SOLUTION: In a particular market there are three commercial television stations, each with its own evening news program from 6:00 to 6:30 P.M. According to a report in this morning's local n

Question 560308: In a particular market there are three commercial television stations, each with its own evening news program from 6:00 to 6:30 P.M. According to a report in this morning's local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on WNAE (channel 5), 64 watched on WRRN (channel 11), and 33 on WSPD (channel 13). At the .05 significance level, is there a difference in the proportion of viewers watching the three channels?
Gift Frequency
Sweatshirt 183
Coffee cup 175
Earrings 142

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a particular market there are three commercial television stations, each with its own evening news program from 6:00 to 6:30 P.M. According to a report in this morning's local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on WNAE (channel 5), 64 watched on WRRN (channel 11), and 33 on WSPD (channel 13). At the .05 significance level, is there a difference in the proportion of viewers watching the three channels?
Gift Frequency
Sweatshirt 183
Coffee cup 175
Earrings 142
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The expected numbers are 500/3 ; 500/3 ; 500/3
----
I ran a Goodness of Fit Test and got the following:
----
Ho: The proportions are the same
Ha: At least one is different
----
test statistic: Chi-Sq = 5.7634
p-value = 0.1237
---
Since the p-value is greater than 5% fail to reject Ho.
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Cheers,
Stan H.
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