A recent poll found that ""433 of the 1548 randomly-selected adults questioned felt that unemployment compensation should be extended an additional six months while the country is in it current economic downturn."" Construct a 95% confidence interval to estimate the proportion of the U. S. adults who feel this way.

(0.257633, 0.302367)

Step-by-step explanation:

We know that , the confidence interval for population proportion is given by :-

, where n= sample size , z= critical value , = sample proportion.

Let p be the proportion of the U.S. adults who feel  that unemployment compensation should be extended an additional six months while the country is in it current economic downturn.

Here , n= 1548 ,

For 95% confidence interval , z= 1.96

Now , a 95% confidence interval to estimate the proportion of the U.S. adults who feel this way would be :

Hence, the 95% confidence interval to estimate the proportion of the U.S. adults who feel this way. would be : (0.257633, 0.302367)