In: Statistics and Probability
5. A question in the poll of 1,000 adult Americans was “How much are you worried about the quality of education in our schools?” 63% responded “a lot”. We are interested in the population proportion of adult Americans who are worried a lot about the quality of education in our schools.
a.Test if normal model applies in this condition.
b. Find the standard error.
c.Construct the 90% confidence interval and interpret the meaning of it.
d. Construct the 95% confidence interval and interpret the meaning of it.
( c )
we are 90% confident that the true population proportion of adult Americans who are worried a lot about the quality of education in our schools lies between 0.605 and 0.655
( d )
we are 95% confident that the true population proportion of adult Americans who are worried a lot about the quality of education in our schools lies between 0.600 and 0.660