Question: 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

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).Is there enough evidence to show that the proportion of female students taking the biology exam is higher than the proportion of female students taking the calculus AB exam?Test at the 5% level.

(i)Which of the following statements correctly defines the null hypothesis HO?

A.pbiology = pcalculus

B.pbiology > pcalculus

C.biology = calculus

D.pbiology < pcalculus

(ii)Which of the following statements correctly defines the alternate hypothesis HA?

A.pbiology < pcalculus

B.pbiology > pcalculus

C.biology = calculus

D.pbiology pcalculus

(iii)Enter the level of significance used for this test:

Enter in decimal form.Examples of correctly entered answers:0.010.020.050.10

(iv)Determine pbiologyandpcalculus

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

0.3000,0.5115

(v)Find pooled sample proportion p

Let pbiology=p1 and let pcalculus = p2

Enter in decimal form to nearest ten-thousandth.Examples of correctly entered answers:

0.00010.00200.05000.30000.5115

(vi)Calculate and enter test statistic

Enter value in decimal form rounded to nearest thousandth, with appropriate sign (no spaces).Examples of correctly entered answers:

-2.014-0.370+1.600+11.009

(vii)Using tables, calculator, or spreadsheet:Determine and enter p-value corresponding to test statistic.

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

0.0000.0010.0300.6000.8141.000

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

A.Reject Ho

B.Fail to reject Ho

C.Accept Ho

D.Accept HA

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

A.The result is statistically significant at .05 level of significance.Evidence supports the claim that the proportion of female students taking the biology exam is more than the proportion of female 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 biology exam is more than the proportion of female 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 that the proportion of female students taking the biology exam is more than the proportion of female students taking the calculus AB exam.

D.The result is not statistically significant at .05 level of significance.Evidence supports the claim that the proportion of female students taking the biology exam is less than the proportion of female students taking the calculus AB exam.

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