Many high school students take the AP test in different subjects in 2007 of 211,693 students who took the calculus AP exam 102,598 of them were female and 109,095 of them were male. is there enough evidence to show that the proportion of female students taking the calculus AB exam is different from the proportion of male students taking the taking a calculus AB exam?test at the 5% level

1. Let p1= proportion of female students taking calculus AB exam and p2 =proportion of male students taking calculus AB exam. which of the following statements correctly defines the null hypothesis?

1. p1 + p2> 0
2. p1-p2=0
3. u1=u2

(ii) proportion of female students taking calculus AB exam and p2 proportion of male students taking calculus AB exam. Which of the following statements correctly defines the bull hypothesis ?

1. p1+p2> 0
2. p1-p2=o
3. u1=u2
4. p1-p2 does not equal 0

(iii) enter the level f significance used for this test

(iv) enter both in decimal form to nearest ten-thousandth, separated by comma( no spaces)

(v)find pooled sample proportion. Let p female exam takers =p1 and let p male exam takes =p2

(vi) calculate and enter test statistic. enter value in decimal form rounded to nearest thousandth, with appropriate sign( no spaces).

(vii) using tables, calculator, spreadsheet: determine and enter p-value corresponding to test statistic

(viii) comparing p-value and significance value, which is the correct decision to make for this hypothesis test?

1. reject null Hypothesis
2. fail to reject null hypothesis
3. accept null hypothesis

(ix) select the statement that most correctly interprets the result of this test:

A.the result is not statistically significant at .05 level of significance. evidence supports the claim that the proportion of female students taking the calculus AB exam is more than the proportion of male students taking the calculus AB exam.

B.the result is statistically significant at .05 level of significance. there is not enough evidence to show that the proportion of female students taking the calculus AB exam is more than the proportion of male students taking the calculus AB exam.

C. the result is not statistically significant at .05 level of significance. there is not enough evidence to show the the proportion of female students taking the calculus AB exam is more than the proportion of male students taking the calculus AB exam.

D. The result is statistically significant at .05 level of significance. Evidence supports the claim that the proportion of male students taking the calculus AB exam.