Is the environment a major issue with Americans? To answer that question, a rese

Question

Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly selected Americans. Suppose 717 of the sampled people replied that the environment is a major issue with them. Construct a 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them. What is the point estimate of this proportion?

(Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.)

? p ?

.

Explanation / Answer

point estimate is phat =717/1255 =0.571

std error =(phat*(1-phat)/n)1/2 =0.014

for 95% CI ; z=1.960

therefore  95% confidence interval of proportion =phat -/+ z*Std error =0.544 ; 0.598

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