SOLUTION: You are involved in the evaluation of viewership of television shows for your local TV station. You have been tasked to establish a 95% confidence interval for th

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Question 284319: You are involved in the evaluation of viewership of television shows
for your local TV station. You have been tasked to establish a 95% confidence
interval for the proportion of viewers that recently watched an episode of a show called 'CSI Phoenix'.
You have randomly queried 400 local adults and determined that 150 of them watched the last episode of the show.
>> create a 95% confidence interval for the proportion of folks in the population that viewed the show (remember -- confidence intervals ... have lower and upper bounds)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
You have randomly queried 400 local adults and determined that 150 of them watched the last episode of the show.
>> create a 95% confidence interval for the proportion of folks in the population that viewed the show
--------------
Sample proportion = 150/400 = 15/40
---
standard error = E = 1.96*sqrt[(15/40)(25/40)/400] = 1.96*0.0242 = 0.0474
===============
95% CI: (15/40)-0.0474 < p < (15/40)+0.0474
--
95% CI: 0.3276 < p < 0.4224
===============================
Cheers,
Stan H.

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