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Determining Television Audience Sizes

by | Dec 2, 2023 | Posted Questions

Determining Television Audience
Sizes

Have you ever been disappointed
because a television network cancelled one of your favourite television shows
because of “low ratings”? The network didn’t ask your opinion, did
it? It probably didn’t ask any of your friends, either. That’s because
estimates of television audience sizes are based on research done by the
Nielsen Company, which uses a sample of 9,000 households out of the more than
113 million households in the United States to determine national ratings for
television programs. That doesn’t seem like enough, does it? As it turns out,
statistically, it’s significantly more than enough.

1. Go to
http://www.surveysystem.com/sscalc.htm to determine the appropriate sample size
for a population of 113 million households. Assuming a confidence interval of
5, how large should the sample of households be if desiring a 95 percent
confidence level? How large for a 99 percent confidence level? Briefly explain
what is meant by confidence interval and confidence level.

2. What sample sizes are necessary
at population sizes of 1 billion, 10,000, and 100 with a confidence interval of
5 and a 95 percent confidence level? Explain the effect population size has on
sample size.

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