Does the confidence interval support that more than 50% of Americans approve of Trump? Why or why not?

Question

A recent Gallop poll showed Trump’s approval rating 40% with a margin or error of 3%. 

a) Find the confidence interval. 

c) Does the confidence interval support that more than 50% of Americans approve of Trump? Why or why not? 

Answer 1

confidence interval is 37% to 43%.

does not support that more than 50% of American approve of Trump because confidence interval only contains values less than 50%, meaning the true population proportion of those supporting Trump is less than 50%.