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 76% of adults aged 18 to 24 use Snapchat. Another finding was that 42% 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.) 0.723 x to 0.979 (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.) 0.422 x to 0.538

MATLAB: An Introduction with Applications
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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 76% of adults aged 18 to 24 use Snapchat. Another finding was that 42% 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.)
0.723
to 0.979
(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.)
0.422
X to 0.538
(c) In which case, part (a) or part (b), is the margin of error larger? Explain why.
The margin of error is larger in part (b)
adults aged 18 to 24 who use Snapchat. Therefore, the standard error of the former is greater than v
interval is greater than v
v for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is closer to 0.5 v than the sample proportion of
than the standard error of the latter. In addition, z/2 for a 99% confidence
Z/, for a 95% confidence interval.
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Transcribed Image Text: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 76% of adults aged 18 to 24 use Snapchat. Another finding was that 42% 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.) 0.723 to 0.979 (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.) 0.422 X to 0.538 (c) In which case, part (a) or part (b), is the margin of error larger? Explain why. The margin of error is larger in part (b) adults aged 18 to 24 who use Snapchat. Therefore, the standard error of the former is greater than v interval is greater than v v for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is closer to 0.5 v than the sample proportion of than the standard error of the latter. In addition, z/2 for a 99% confidence Z/, for a 95% confidence interval. Need Help? Read It
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