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 2010-2019. One of the questions asks about favorite school subject. We see that 39 out of 186 students fromthe first half of the decade (2010-2014) chose "mathematics and statistics," while 69 out of 268 students in the second half of the decade (2015-2019) 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 first and second halves of the decade? (Let Group 1 represent the first half of the decade and Group 2 represent the second half of the decade.) State the hypotheses. ::- Ho: CII Test statistic = i p-value= i ::μ What do you conclude? :: p Find test statistic and p-value. Round to three decimal places. ₂ :: p :: P₁ :: P₁ :: P₂ vs Ha: ID r P2 ⠀- p #I₁ O Reject Ho. We can conclude that there is a difference in the proportion choosing math/stat as their favorite subject. O Reject Ho. We cannot conclude that there is a difference in the proportion choosing math/stat as their favorite subject. O Do not reject Ho. We cannot conclude that there is a difference in the proportion choosing math/stat as their favorite subject. O Do not reject Ho. We can conclude that there is a difference in the proportion choosing math/stat as their favorite subject.