The January 2007 Consumer Reports study found that 15% of 525 broiler chickens tested were infected with Salmonella.
(a) Find the margins of error for the report if we want 90% confidence in our estimate of the proportion of infected chickens.
(b) Construct a 90% confidence interval.
(c) Explain what your confidence interval says about chicken sold in the US.
(d) If we want to be 95% confident, will the margin of error increase?