n 2010 as part of the General Social Survey, 1295 randomly selected American adu

Question

n 2010 as part of the General Social Survey, 1295 randomly selected American adults responded to this question "Some countries are doing more to protect the environment than other countries are. In general do you think that America is doing more than enough, about the right amount, or too little?" tion of all American adults who feel that America is the espo nts, 473 epledthat Arenca is doing about the r doing about the right amount to protect the environment hta ontWhat is the 95% confidence interval for the p op (0343 0387) 33L 0400 10339 039) 10352 0378) 4

Explanation / Answer

Solution:

Given that Z/2 = 1.96
n = 1295
p = 473/1295 = 0.3652

margin of error, E = sqrt(pq/n)*Z/2= sqrt(0.3652*(1-0.3652)/1295)*1.96 = 0.0262

95% CI = (0.3652 - 0.0262 , 0.3652 +0.0262)
= (0.339, 0.3914)

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