A country's education department reported that in

2015,

65.6%

of students enrolled in college or a trade school within

12

months of graduating high school. In

2017,

a random sample of

179

individuals who graduated from high school

12

months prior was selected. From this sample,

111

students were found to be enrolled in college or a trade school. Complete parts a through c.

a. Construct a

90%

confidence interval to estimate the actual proportion of students enrolled in college or a trade school within

12

months of graduating from high school in

2017.

The confidence interval has a lower limit of

and an upper limit of

(Round to three decimal places as needed.)

b. margin error