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6 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. 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? O Reject H0. We can conclude that there is a difference in the proportion choosing math/stat as their favorite subject. 0 Do not reject H0. We can conclude that there is a difference in the proportion choosing math/stat as their favorite subject. 0 Reject H0. We cannot conclude that there is a difference in the proportion choosing math/stat as their favorite subject. 0 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 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 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 Blank Question 18 Math Fill in the Blank Question 19 Math Fill in the Blank 1 / 1 ~/ Correct 1 / 1 ~/ Correct 0.75 f 1 Q Partially correct 0.25 / 1 \" Partially correct 1 / 1 J Correct 0.33 f 1 W Partially correct 0.78/ 1 Q Partially correct 1 / 1 J Correct 0.78/ 1 Q Partially correct -/ 1 Not started -/ 1 Not started 1 / 1 ~/ Correct / 1 Not started 1 / 1 ~/ Correct / 1 Not started 1/1 J Correct -/ 1 Not started