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.
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Ho: The proportions are the same
Ha: At least one of the proportions is different
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Convert the percentages to number out of 500
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Expected DATA: 150,150,150,50
Observed DATA: 165,140,125,70
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I ran a Chi-Sq Goodness-of-fit Test and got the following:
Chi-Sq = 12.7922...
p-value = 0.0051
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Since the p-value is less than 1%, Reject Ho
The test results do not support keeping the old guidelines.
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Cheers,
Stan H.
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