Question

You may need to use the appropriate appendix table or technology to answer this question.

A research center has conducted extensive research on social media usage. One finding was that 71% of adults aged 18 to 24 use Snapchat. Another finding was that 48% of those aged 18 to 24 use Twitter. Assume the sample size associated with both findings is 400.

(a)

Develop a 95% confidence interval for the proportion of adults aged 18 to 24 who use Snapchat. (Round your answers to four decimal places.)

to

(b)

Develop a 99% confidence interval for the proportion of adults aged 18 to 24 who use Twitter. (Round your answers to four decimal places.)

to

(c)

In which case, part (a) or part (b), is the margin of error larger? Explain why.

The margin of error is larger in  ---Select--- part (a) part (b) for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is  ---Select--- closer to 1 closer to 0.5 than the sample proportion of adults aged 18 to 24 who use Snapchat. Therefore, the standard error of the former is  ---Select--- greater than less than than the standard error of the latter. In addition,

z_α/2

for a 99% confidence interval is  ---Select--- greater than less than

z_α/2

for a 95% confidence interval

Answer 1

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