Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology exam 84,199 of them were female. In that same year, of the 211,693 students who took the calculus AB exam 102,598 of them were female ("AP exam scores," 2013). Estimate the difference in the proportion of female students
(iv) Determine error bound of the proportion:
Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers:
0.0000 0.0010 0.0300 0.6000 0.8147 2.0000
(v) Let "p1" refer to proportion of students taking biology exam. Let "p2" represent proportion of students taking calculus AB exam. Determine the confidence interval of the proportion difference p1 – p2:
Enter lower bound value to nearest ten-thousandth, followed by < , followed by "p1-p2" for proportion difference or "μ1-μ2" for mean, followed by <, followed by upper bound value to nearest ten-thousandth. No spaces between any characters. Do not use italics. Examples of correctly entered answers:
0.7754<p1-p2<0.7831
13.1224<μ1-μ2<13.9976
-9.7261<μ1-μ2<-8.0833
(vi) Using the confidence interval, select the correct description of the result of the survey:
A. We estimate with 90% confidence that the true proportion of female students taking the biology exam is anywhere from 9.41% to 9.96% higher than the proportion of female students taking the calculus AB exam.
B. We estimate with 90% confidence that the true proportion of female students taking the calculus AB exam is anywhere from 9.41% to 9.96% higher than the proportion of female students taking the biology exam.
C. We estimate with 90% confidence that the true proportion of female students taking the biology exam is anywhere from 9.41% to 9.96% lower than the proportion of female students taking the calculus AB exam.
D. We estimate with 90% confidence that the true proportion of female students taking the biology exam is less than 9.41% higher than the proportion of female students taking the calculus AB exam.
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