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 the z 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

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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.)

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.)

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.)