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# Pew Research reports that 63% of the U.S. adult cell phone owners use their phone to go online. A ...

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Posts: 242
2 weeks ago
Pew Research reports that 63% of the U.S. adult cell phone owners use their phone to go online. A company wants to target 16- to 24-year olds for advertising and they wonder if that age group has a similar pattern of phone use.

The company wants to estimate the true percentage of 16- to 24-year old cell phone owners who use their phone to go online to within ±7.5%, with 95% confidence. How many cell phone owners in this age group should they sample?
Textbook

## Stats: Modeling the World

Edition: 4th
Authors:
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Answer verified by a subject expert
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Posts: 238
2 weeks ago

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wrote...
2 weeks ago
 Pew Research reports that 63% of the U.S. adult cell phone owners use their phone to go online. A company wants to target 16- to 24-year olds for advertising and they wonder if that age group has a similar pattern of phone use.They ignore your advice in Question 1 and just select a random sample of 300 cell phone users aged 16 to 24, and find that 206 of those surveyed use their phone to go online. Create the confidence interval.
wrote...
2 weeks ago
 We have a random sample of less than 10% of the number of cell phone users in this age group, with 206 successes and 944 failures, both of which are at least ten, so a Normal model applies. The confidence interval is (0.634, 0.739).
wrote...
2 weeks ago
wrote...
2 weeks ago
 Pew Research reports that 63% of the U.S. adult cell phone owners use their phone to go online. A company wants to target 16- to 24-year olds for advertising and they wonder if that age group has a similar pattern of phone use.Should the company conclude that the percentage of cell phone owners in this age group who use their phone to go online is different from 63%? Explain.
wrote...
2 weeks ago
 Yes. Since 63% does not lie in the confidence interval it's unlikely that the percentage of all cell phone owners aged 16 to 24 who use their phone to get online is 63%.
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