Of the respondents, 514 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. g

Complete Question

In 2015 as part of the General Social Survey, 1127 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, 514 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.

The 95% confidence interval is    

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1127

    The number that America is doing the about the right amount is k =  514

 Generally the sample proportion of the number that say america is doing about the right amount is mathematically represented as

=>          

=>          

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as

=>  

=>  

Generally 95% confidence interval is mathematically represented as  

=>  

=>    

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225