There is a declining interest among teenagers to pursue a career in science and health care (US News and 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. A portion of the data is shown below; the complete data set, labeled Field Choice, can be found on the text website.
Field Choice Gender
: ............ :
a. Compare the 95% confidence interval for the proportion of students who would like to pursue Science with the proportion who would like to pursue Business.
b. Construct and interpret the 90% confidence interval for the proportion of female students who are college bound.