Who tweets? Do younger people use Twitter more often than older people? In a random

Chapter 10, Problem 9

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QUESTION:

Who tweets? Do younger people use Twitter more often than older people? In a random sample of 316 adult Internet users aged 18 to 29, 26% used Twitter. In a separate random sample of 532 adult Internet users aged 30 to 49, 14% used Twitter.

(a) Calculate the standard error of the sampling distribution of the difference in the sample proportions (younger adults older adults). What information does this value provide?

(b) Construct and interpret a 90% confidence interval for the difference between the true proportions of adult Internet users in these age groups who use Twitter.

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QUESTION:

Who tweets? Do younger people use Twitter more often than older people? In a random sample of 316 adult Internet users aged 18 to 29, 26% used Twitter. In a separate random sample of 532 adult Internet users aged 30 to 49, 14% used Twitter.

(a) Calculate the standard error of the sampling distribution of the difference in the sample proportions (younger adults older adults). What information does this value provide?

(b) Construct and interpret a 90% confidence interval for the difference between the true proportions of adult Internet users in these age groups who use Twitter.

ANSWER:

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