There is a declining interest among teenagers to pursue a career in science and health care (U.S. News & World Report, May 23, 2011). Thirty college-bound students in Portland, Oregon, are asked about the field they would like to pursue in college. The choices offered in the questionnaire are science, business, and other. The gender information also is included in the questionnaire.[You may find it useful to reference thez table.]

Field Choice	Gender
Business	Male
Other	Female
Business	Female
Science	Female
Science	Male
Other	Female
Business	Male
Science	Male
Science	Male
Business	Female
Other	Female
Other	Male
Business	Male
Business	Female
Science	Male
Business	Female
Science	Male
Science	Female
Science	Female
Business	Female
Other	Male
Business	Male
Business	Female
Other	Male
Other	Male
Science	Male
Other	Female
Science	Male
Science	Male
Science	Female

a-1.Construct the 85% confidence interval for the proportion of students who would like to pursue Science.(Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answers to 3 decimal places.)

confidence interval = ___?____ to ____?____

a-2.Construct the 85% confidence interval for the proportion of students who would like to pursue Business.(Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answers to 3 decimal places.)

confidence interval = ___?___ to _____?____

b.Construct the 95% confidence interval for the proportion of female students who are college bound.(Round intermediate calculations to at least 4 decimal places.Round "z" value to 3 decimal places and final answers to 3 decimal places.)

confidence interval = _____?____ to ______?_____

No	Field Choice	Gender
1	Business	Male
2	Other	Female
3	Business	Female
4	Science	Female
5	Science	Male
6	Other	Female
7	Business	Male
8	Science	Male
9	Science	Male
10	Business	Female
11	Other	Female
12	Other	Male
13	Business	Male
14	Business	Female
15	Science	Male
16	Business	Female
17	Science	Male
18	Science	Female
19	Science	Female
20	Business	Female
21	Other	Male
22	Business	Male
23	Business	Female
24	Other	Male
25	Other	Male
26	Science	Male
27	Other	Female
28	Science	Male
29	Science	Male
30	Science	Female