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 43% of those aged 18 to 24 use Twitter. Assume the sample size associated with both findings is 600. (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 ___ for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is ___ than the sample proportion of adults aged 18 to 24 who use Snapchat. Therefore, the standard error of the former is ___ than the standard error of the latter. In addition, z?/2 for a 99% confidence interval is ___ z?/2 for a 95% confidence interval.
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 43% of those aged 18 to 24 use Twitter. Assume the sample size associated with both findings is 600. (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 ___ for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is ___ than the sample proportion of adults aged 18 to 24 who use Snapchat. Therefore, the standard error of the former is ___ than the standard error of the latter. In addition, z?/2 for a 99% confidence interval is ___ z?/2 for a 95% confidence interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 71% of adults aged 18 to 24 use Snapchat. Another finding was that 43% of those aged 18 to 24 use Twitter. Assume the sample size associated with both findings is 600.
(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 ___ for two reasons. The sample proportion of adults aged 18 to 24 who use Twitter is ___ than the sample proportion of adults aged 18 to 24 who use Snapchat. Therefore, the standard error of the former is ___ than the standard error of the latter. In addition, z?/2 for a 99% confidence interval is ___ z?/2 for a 95% confidence interval.
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