6 24 - Section 6.3 Inference for a Difference in Proportions Question 11 0f19 View Policies Current Attempt in Progress -/1 E Test whether males are less likely than females to support a ballot initiative, if 25% of a random sample of 48 males plan to vote yes on the initiative and 32% of a random sample of 48 females plan to vote yes. Use subscripts 1 for males who plan to vote yes and 2 for females who plan to vote yes. (a) Find the relevant sample proportions in each group and the pooled proportion. Round your answers to three decimal places, if necessary. mu 1:) || eTextbook and Media (b) State the null and alternative hypotheses. Assistance Used eTextbook and Media (c) Give the test statistic and the pvalue. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = a pvalue = n What is the conclusion? v H0. eTextbook and Media Save for Later Attempts: 0 of 4 used Multipart Question 2 Multipart Question 3 Multipart Question 4 Multipart Question 5 Math Fill in the Blank Question 6 Math Fill in the Blank Question 7 Math Fill in the Blank Question 8 Math Fill in the Blank Question 9 Multipart \".mupuu Question 10 Multipart Viewing Question 11 Multipart Question 12 Mu tipart Question 13 Mu tipart Question 14 Mu tipart Question 15 Mu tipart Question 16 Mu tiple Choice Question 17 Ma h Fill in the Blank Question 18 Math Fill in the Blank Question 19 Math Fill in the D Partially correct 0.5 / 1 D Partially correct 1/1 ~/ Correct 1/1 ~/ Correct -/ 1 Not started / 1 Not started / 1 Unsubmitted work / 1 Not started -/ 1 Not started / 1 Not started -/ 1 Not started _/ ' Not started _/ ' Not started _/ ' Not started _ / * Not started _ / * Not started -/ 1 Not started -/ 1 Not started -/1 .._. and"; - 24 - Section 6.3 Inference for a Difference in Proportions Question 12 of 19 > - 11 5 Question List X View Policies Current Attempt in Progress Question 1 0.5 / 1 Multipart Partially correct Table 1 gives flight arrival numbers from a random sample of flights for two airlines. Question 2 0.5 / 1 Multipart ) Partially correct On- Early Late Total time Question 3 /1 Airline Multipart Correct 133 416 152 701 1 Airline Question 4 1 1 58 354 38 500 2 Multipart Correct Total 191 770 240 1201 Question 5 Math Fill in the Blank Not started Table 1 Arrival times for two airlines Question 6 - /1 Test whether there is a difference between the two airlines in the percent of flights that arrive late. Math Fill in the Not started Question 7 /1 (a) Find the relevant sample proportions in each group and the pooled proportion. Math Fill in the Blank Unsubmitted work Round your answers to three decimal places, if necessary. Question 8 /1 P 1= i Math Fill in the Blank Not started P 2 = i Question 9 /1 Multipart Not started p Question 10 /1 Multipart Not started eTextbook and Media Question 11 /1 Multipart Not started (b) State the null and alternative hypotheses. Viewing /1 Question 12 Not started Multipart : = :: :: 12 :: p :: p2 :: - :: p : x1 Question 13 /1 :: 2 : p :: P1 :: P2 Multipart Not started Question 14 Multipart Not started Ho: Question 15 /1 Multipart Not started e Textbook and Media Question 16 /1 Multiple Choice Not started Question 17 -/1 (c) Give the test statistic and the p-value. Math Fill in the Blank Not started Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. Question 18 /1 test statistic = i Math Fill in the Blank Not started p-value = i Question 19 /1 Math Fill in the Blank Not started What is the conclusion? Ho at a 5 % level. Ho at a 10 % level. e Textbook and Media Save for Later Attempts: 0 of 4 used Submit Answer6 24 - Section 6.3 Inference for a Difference in Prop tions Question130f19 -/1 E View Policies Current Attempt in Progress Pennsylvania Seniors Favorite Subject? Exercise 1.24 describes a dataset, stored in PASeniors, for a sample of 457 Pennsylvania high school seniors who did the Census at School project. The data contain responses from the decade 20102019. One of the questions asks about favorite school subject. We see that 39 out of 186 students fromthe rst half of the decade (20102014) chose \"mathematics and statistics," while 69 out of 268 students in the second half of the decade (20152019) made this choice. (Three students did not answer this question.) Does this provide enough evidence that the proportion of students picking mathematics and statistics as a favorite subject has changed between the rst and second halves of the decade? (Let Group 1 represent the rst half of the decade and Group 2 represent the second half of the decade.) State the hypotheses. ,...., \\(H70\\:\\p71\\) lupin u....a H_a\\ :\\ p_1l :p_2 eTextbook and Media Find test statistic and p-value. Round to three decimal places. Test statistic = n p-value = n eTextbook and Media What do you conclude? Reject H0. We can conclude that there is a difference in the proportion choosing math/stat as their favorite subject. Do not reject H0. We can conclude that there is a difference in the proportion choosing math/stat as their favorite subject. Reject H0. We cannot conclude that there is a difference in the proportion choosing math/stat as their favorite subject. Do not reject H0. We cannot conclude that there is a difference in the proportion choosing math/stat as their favorite subject. eTextbook and Media Save for Later Attempts: O of 4 used Question List Question 1 Mu tipart Question 2 Mu tipart Question 3 Mu tipart Question 4 Mu tipart Question 5 Ma h Fill in the Blank Question 6 Math Fill in the Blank Question 7 Math Fill in the Blank Question 8 Math Fill in the Blank Question 9 Multipart Question 10 Multipart Question 11 Multipart Question 12 Multipart Viewing Question 13 Multipart Question 14 Multipart Question 15 Multipart Question 16 Multiple Choice Question 17 Math Fill in the Dl1nh X 0.5 / 1 D Partially correct 0.5 / 1 D Partially correct 1 / 1 ~/ Correct 1 / 1 ~/ Correct / 1 Not started -/ 1 Not started -/1 Unsubmitted work / 1 Not started / 1 Not started / 1 Not started / 1 Not started / 1 Not started -/ 1 Not started / 1 Not started / 1 Not started / 1 Not started / 1 Not started - 24 - Section 6.3 Inference for a Difference in Proportions Question 14 of 19 > - 11 5 Question List X View Policies Current Attempt in Progress Question 1 0.5 / 1 Multipart ) Partially correct Physician's Health Study Question 2 0.5 / 1 In the Physician's Health Study, 22,071 male physicians participated in a study to determine whether taking a daily low-dose aspirin Multipart ) Partially correct reduced the risk of heart attacks. The men were randomly assigned to two groups and the study was double-blind. After five years, 104 of the 11,037 men taking a daily low dose aspirin had had a heart attack while 189 of the 11,034 men taking a placebo had had a heart attack. Does taking a daily low-dose aspirin reduce the risk of heart attacks? Question 3 1/1 Multipart Correct 1"Final report on the aspirin component of the ongoing Physicians' Health Study. Steering Committee of the Physicians' Health Study Research Group", New England Journal of Medicine, 1989 Jul 20; 321(3): 129-135. Question 4 /1 Multipart Correct (a) State the null and alternative hypotheses. Question 5 /1 Math Fill in the Blank Not started Use subscripts 1 for the treatment group (taking the daily low-dose aspirin) and 2 for the control group (taking a placebo). Question 6 /1 Math Fill in the Blank Not started # = :: > :: \\mu :\\mu_1 ": \\mu_2 : p1 :: p_2 #: \ ho Question 7 - /1 :: \\overline{x] #: \\overline(x]_1 :: \\overline(x]_2 #: \\overset{\\wedge}{p} : \\overset{\\wedge}{p]_1 Math Fill in the Blank Unsubmitted work #: \\overset{\\wedge}{p}_2 Question 8 -/ 1 Math Fill in the Blank Not started Ho : VS Ha: Question 9 - /1 Question 9 /1 Multipart Not started e Textbook and Media Question 10 /1 Multipart Not started Question 11 /1 (b) Give the test statistic and the p-value. Multipart Not started Round your intermediate results to four decimal places. Question 12 Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. Multipart Not started test statistic = Question 13 Multipart Not started p-value = i Viewing What is the conclusion? -/1 Question 14 Not started Multipart v Ho. Question 15 71 e Textbook and Media Multipart Not started Question 16 Multiple Choice Not started (c) Does taking a daily low-dose aspirin reduce the risk of heart attacks? Question 17 ./1 Math Fill in the Blank Not started O Yes O No Question 18 Math Fill in the Blank Not started e Textbook and Media Question 19 -/1 Math Fill in the Blank Not started 'd) Why can we infer a causal relationship from the results? O Because the p-value is so low O Because the p-value is so high Because the results are significant and the results come from an experiment Because the results are significant and the results come from an observational study e Textbook and Media Save for Later Attempts: 0 of 4 used Submit