Most walkbehind lawn mowers have three options for disposal of grass clippings: by bagging, by mulching, or by side discharge. The manager at an Aubuchon Hardware store conducted a survey to determine...

Most walkbehind lawn mowers have three options for disposal of grass clippings: by bagging, by mulching, or by side discharge. The manager at an Aubuchon Hardware store conducted a survey to determine which disposal method is most common. The results are given in the table below, classified by area mowed. A small area is less than 1 2 acre, a medium area is 1 2 to 1 acre, and a large area is over 1 acre.

a. For people with small yards, find a 95% confidence interval for the true proportion who dispose of grass clippings by bagging.

b. For people with medium yards, find a 95% confidence interval for the true proportion who dispose of grass clippings by mulching.

c. For people with large yards, find a 95% confidence interval for the true proportion who dispose of grass clippings by side discharge.