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A December 2013 Gallup poll of 13,186 nationally representative adults found that 8.9% reported being sick...

A December 2013 Gallup poll of 13,186 nationally representative adults found that 8.9% reported being sick with a cold. Based on these results, what is a 95% confidence interval for the proportion p of American adults who were sick with a cold that month?
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Answer #1

Answer:

Given,

Sample n = 13186

p = 8.9%

Here at 95% CI, z value = 1.96

Interval = p +/- z*sqrt(pq/n)

substitute values

= 0.089 +/- 1.96*sqrt(0.089(1-0.089)/13186)

= 0.089 +/- 0.0049

= (0.0841 , 0.0939)

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