Many high school students take the AP tests in different subject areas.

Many high school students take the AP tests in different subject areas. In 2007, of the 211,693 students who took the calculus AB exam 102,598 of them were female and 109,095 of them were male ("AP exam scores," 2013). Estimate the difference in proportion of female students taking the calculus AB exam versus male students taking the calculus AB exam using a 90% confidence level. (i) Enter the level of significance α used for this test:

Enter in decimal form to nearest hundredth. Examples of correctly entered answers: 0.01  0.02   0.05   0.10    0.90

 (ii)  Determine  p

ˆ

female exam takers

  and  p

ˆ

male exam takers

Enter both in decimal form to nearest ten-thousandth, separated by comma (no spaces) Examples of correctly entered answers: 

0.0001,0.0341  

0.0020,0.0500  

0.3000,0.7115

 (iii) Determine Z score corresponding to desired confidence level

Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers:

2.013    -0.137       0.600      0.005

 (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 female students taking the calculus AB exam. Let "p2" represent proportion of male students taking the 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 calculus AB exam is anywhere from 2.70% to 3.42% higher than the proportion of male students taking the calculus AB exam.

B. We estimate with 90% confidence that the true proportion of male students taking the calculus AB exam is anywhere from 2.70% to 3.42% lower than the proportion of female students taking the calculus AB exam.

C. We estimate with 90% confidence that the true mean population of female students taking the calculus AB exam is anywhere from 2.70% to 3.42% higher than the true mean population of male students taking the calculus AB exam.

D. We estimate with 90% confidence that the true proportion of female students taking the calculus AB exam is anywhere from 2.70% to 3.42% lower than the proportion of male students taking the calculus AB exam.