SOLUTION: For many years, TV executives used the guideline that 30 percent of the audience were watching each of the traditional big three prime-time networks and 10 percent were watching ca

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Question 657889: For many years, TV executives used the guideline that 30 percent of the audience were watching each of the traditional big three prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 550 viewers in the Tampa–St. Petersburg, Florida, area last Monday night showed that 190 homes were tuned in to the ABC affiliate, 100 to the CBS affiliate, 165 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.02 significance level, can we conclude that the guideline is still reasonable? (Round your answers to 3 decimal places.)
H0: The proportions are as stated H1: The proportions are not as stated
Reject H0 if 2 >
2 =

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 traditional big three prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 550 viewers in the Tampa–St. Petersburg, Florida, area last Monday night showed that 190 homes were tuned in to the ABC affiliate, 100 to the CBS affiliate, 165 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.02 significance level, can we conclude that the guideline is still reasonable? (Round your answers to 3 decimal places.)
H0: The proportions are as stated
H1: The proportions are not as stated
Reject H0 if p < 0.02
-------
I entered the data into a 2 by 4 matrix and ran a Chi-Sq. Test with a
TI-84.
Conclusion: Since the p-value was 0.0000002384, reject Ho at the 2% level
of significance.
-----
Cheers,
Stan H.


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