Question

In 2015 as part of the General Social Survey, 1383 randomly selected American adults responded to this question:

“Some countries are doing more to protect the environment than other countries. In general, do you think that America is doing more than enough, about the right amount, or too little?”

Of the respondents, 436 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.

1. (0.283, 0.347)
2. (0.295, 0.336)
3. (0.291, 0.34)
4. (0.303, 0.328)

Answer 1

Sol

sample proportion who feel that America is doing about the right amount to protect the environment.

p^=x/n=436/1383= 0.3152567

zcrit for 95%=1.96

e 95% confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment.

p^-z*sqrt(p^*(1-p^)/n,p^+z*sqrt(p^*(1-p^)/n

0.3152567-1.96*sqrt(0.3152567*(1-0.3152567)/1383),0.3152567+1.96*sqrt(0.3152567*(1-0.3152567)/1383)

0.2907694,0.339744

0.291,0.34

0.291, 0.34)