Many high school students take the AP tests in different subject areas. In 2017, of the 140693 students who took the AP biology exam 76105 of them were female. In that same year, of the 211318 students who took the AP calculus AB exam 98719 of them were female. Is there enough evidence to show that the proportion of AP biology exam takers who are female is higher than the proportion of AP calculus AB exam takers who are female? a) Test at the 4% level b) Compute a 92% confidence interval for the difference in proportions. Use the steps of PHANTOMS for the hypothesis test. For the confidence interval you do not need to do all the steps of PANIC since you did some of them already in PHANTOMS. You just need to do the NIC of PANIC. Part a.) HYPOTHESIS TEST P: Parameter What is the correct parameter symbol and wording for population 1? Select an answer v = Select an answer p1 parameter symbol and wording for population 2? Part a.) HYPOTHESIS TEST P: Parameter What is the correct parameter symbol and wording for population 1? Select an answer v = Select an answer v Select an answer All students who took the AP biology test that are female A randomly selected student who took the AP biology test that is female Whether or not a randomly selected student who took the AP biology test is female [The percentage of all students who took the AP biology test that are female :I All students who took the AP biology test 140693 randomly selected students who took the AP biology test The percentage of 140693 randomly selected students who took the AP biology test that are female A randomly selected student who took the AP biology test What is the correct parameter symbol and wording for population 2? Select an answer V = Sel Select an answer V N2 H: 1 X2 n2 ull and alternative hypotheses: nswer v ? vWhat is the correct parameter symbol and wording for population 2? Select an answer v = Select an answer v Select an answer Whether or not a randomly selected student who took the AP calculus AB test is female The percentage of 211318 randomly selected students who took the AP calculus AB test that are female A randomly selected student who took the AP calculus AB test that is female All students who took the AP calculus AB test The percentage of all students who took the AP calculus AB test that are female 211318 randomly selected students who took the AP calculus AB test A randomly selected student who took the AP calculus AB test All students who took the AP calculus AB test that are female H: Hypotheses Fill in the correct null and alternative hypotheses: Ho : Select an answer V ? V Select an answer ud HA: P1 - P2 N1 - N2 p1 - p2 A: Assumptix2 n1 - n2 Since S M1 - H2 formation was collected from each obH: Hypotheses Fill in the correct null and alternative hypotheses: Ho : Select an answer v ? v ? = HA : Select an answer V VIAIVA A: AssumptionsH: Hypotheses Fill in the correct null and alternative hypotheses: HA _9'9ta"a"werv _elect an answer 91 - ID2 A: Assumpti F31 - F52 n1 - n2 Since E pd formation was collected from each ob conditions: N1 - N2 X1 X2 Check all p] - p2 H: Hypotheses Fill in the correct null and alternative hypotheses: Ho : Select an answer ? v HA : Select an answer v ? v ? = A: Assumptions 10 and x2 2 10Check those assumptions: Population sizes are not given. We will assume that N1 >= 200m) and N2 >= 20mg) Check those assumptions: 1 = which is ? v 2 = which is ? v ? n2 - 202 = whi ? v 2 Population sizes are not given. We will assume that N1 >= 20(n1) and N2 >= 20(n2)Check those assumptions: C1 = which is ? v X 2 : which is ? v n1 - C1 = which is ? v S n2 - X2 = which is = Population sizes are not given. H IV We will assume that N1 >= 20(1) and N2 >= 20(n2,Check those assumptions: 1 = which is ? v 2 = which is ? v n1 - C1 = which is ? v n2 - 02 = which is ? v ? Population sizes are not given. = = 20(n1) and N2 >= 20(n H IAN: Name the test The conditions are met to use a Select an answer Select an answer T: Test Statistic 1-Proportion Z-Test T-Test The symbol and value of the ran Paired T-Test C 2-Sample T-Test 2-Proportion Z-TestT: Test Statistic The symbol and value of the random variable (to 4 decimal places) on this problem are as follows: Select an answer V Select an answer X1 - X2 P1 - P2 from technology to 2 decimal places. N1 - N2 M1 - 2 p1 - p2 ud 0: (n1 - n2Round final answer from technology to 2 decimal places. Z = Basic Funcs Trig X X X n ible wh OO DNE Enter a mathematical expression [more..]0: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 M: Make a decision Since the p-value ? v , we Select an answer V ? S: State a conclusion A HIV . There Select ar wer V significant evidence to conclude > Select an answe = Select an answerM: Make a decision Since the p-value ? V , we Select an answer V Select an answer S: State a conclusion accept Ho fail to reject Ha reject Ha . There Select an answer V significan reject Ho Select an answer fail to reject HoS: State a conclusion - There Select an answer v significant evidence to conclude Select an answer Select is not S: State a conclusion - There Select an answer v significant evidence to conclude Select an answer 140693 randomly selected students who took the AP biology test \\. A randomly selected student who took the AP biology test that is female The percentage of all students who took the AP biology test that are female b The percentage of 140693 randomly selected students who took the AP biology test that are female All students who took the AP biology test N: Na Whether or not a randomly selected student who took the AP biology test is female A randomly selected student who took the AP biology test TheA\" students who took the AP biology test that are female Part S: State a conclusion - There Select an answer v significant evidence to conclude Select an answer v Select an answer v Select an answer is equal to is more than Part b is. '955 than I'ERVAL differs from S: State a conclusion 0 There Select an answer v significant evidence to conclude Select an answer v Select an answer v Select an answer v Select an answer The percentage of all students who took the AP calculus AB test that are female Part b The percentage of 211318 randomly selected students who took the AP calculus AB test that are female 211318 randomly selected students who took the AP calculus AB test N: Na All students who took the AP calculus AB test that are female Whether or not a randomly selected student who took the AP calculus AB test is female Th6 A randomly selected student who took the AP calculus AB test All students who took the AP calculus AB test '1 lnte A randomly selected student who took the AP calculus AB test that is female Part b. ) CONFIDENCE INTERVAL N: Name the procedure The conditions are met to use a Select an answer V Select an answer 1: Interval estimate (round endpot 1-Proportion Z-Interval 2-Proportion Z-Interval A % confidence interv T-Interval 2-Sample T-Interval C: Conclusion in context Paired T-IntervalI: Interval estimate (round endpoints to 3 decimal places) AC] % confidence interval for is (l:] , [:] ) C: Conclusion in context [51 - F52 m - n; pl - p2 - We are [3 96 confident that \"1 _ \"2 Select an answer \"d N: - N2 between l 96 and 9X - X2 2] C: Conclusion in context - We are 96 confident that Basic Funcs Trig x x \\/_ (1/ ()|| 1: 00 WE Enter a mathematical expression [more..]