Select one answer. In 2010 as part of the General Social Survey, 1295 randomly s

Question

Select one answer. In 2010 as part of the General Social Survey, 1295 randomly selected American adults responded to this question: "Some countries are doing more i0 points 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?'" Of the respondents, 473 replied that America is doing about the right amount. What is the 95% confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment. A. O (0.352, 0.378) B. (o.343, 0.387) C.? (0.339, 0.391) D. o (o.331, o.400)

Explanation / Answer

solution:- option C. (0.339 , 0.391)
given than p^ = x / n = 473 / 1295
= 0.365
then q^ = 1 - p^ = 1 - 0.365
= 0.635
95% confidence for z is 1.96
confidence interval formula = p^ +/- z * sqrt(p^ * q^)/n)
=> 0.365 +/-1.96*sqrt((0.365*0.635)/1295)
=> (0.339 , 0.391)

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