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For many years, TV executives used the guideline that 30% of the audience were w

ID: 3178656 • Letter: F

Question

For many years, TV executives used the guideline that 30% of the audience were watching each of the traditional big three prime-time networks and 10% were watching cable stations on a weekday night. A random sample of 400 viewers in the Tampa–St. Petersburg, Florida, area last Monday night showed that 110 homes were tuned in to the ABC affiliate, 110 to the CBS affiliate, 135 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.05 significance level, can we conclude that the guideline is still reasonable? (Round your answers to 3 decimal places.)

For many years, TV executives used the guideline that 30% of the audience were watching each of the traditional big three prime-time networks and 10% were watching cable stations on a weekday night. A random sample of 400 viewers in the Tampa–St. Petersburg, Florida, area last Monday night showed that 110 homes were tuned in to the ABC affiliate, 110 to the CBS affiliate, 135 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.05 significance level, can we conclude that the guideline is still reasonable? (Round your answers to 3 decimal places.)

Explanation / Answer

H0: The distribution given is correct

HA: The distribution has changed

Observed: 110 110 135 55

Expected: 150,150,150 50

calculate Chi-Sq: the sum of (O-E)^2/E for each pair =

Chisquar: 10.6, .10.6,1.5, 0.5 = 23.2

p-value = 0.002 reject

The distribution has changed