SOLUTION: For many years TV executives used the guideline that 30 percent of the audience were watching each of the prime-time networks and 10 percent were watching cable stations o

Question 211773This question is from textbook
: For many years TV executives used the guideline that 30 percent of the audience were
watching each of the prime-time networks and 10 percent were watching cable stations on
a weekday night. A random sample of 500 viewers in the Tampa�St. Petersburg, Florida,
area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to
the CBS affiliate, 125 to the NBC affiliate, and the remainder were viewing a cable station.
At the .05 significance level, can we conclude that the guideline is still reasonable?
This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For many years TV executives used the guideline that 30 percent of the audience were
watching each of the prime-time networks and 10 percent were watching cable stations on
a weekday night. A random sample of 500 viewers in the Tampa�St. Petersburg, Florida,
area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to
the CBS affiliate, 125 to the NBC affiliate, and the remainder were viewing a cable station.
At the .05 significance level, can we conclude that the guideline is still reasonable?
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It's a Goodness of Fit Problem.
---
Ho: The proportions are the same
Ha: At least one of the proportions is different
---
Convert the percentages to number out of 500
---
Expected DATA: 150,150,150,50
Observed DATA: 165,140,125,70
---
I ran a Chi-Sq Goodness-of-fit Test and got the following:
Chi-Sq = 12.7922...
p-value = 0.0051
----
Since the p-value is less than 1%, Reject Ho
The test results do not support keeping the old guidelines.
===============================
Cheers,
Stan H.
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