A poll summarized the results of a survey of 2,400 adults and 500 teens aged 13 to 17. It was reported that 32% of the teens surveyed and 39% of the adults surveyed inuicateu thất they believe in reincarnation. The samples were selected to be representative of American adults and teens. In USE SALT Use the data from this survey to estimate the difference in the proportion of adults who believe in reincarnation and the proportion of teens who believe in reincarnation by calculating a 95% confidence interval for the difference. (Use Padults - Preens: Round your answers to three decimal places.) to Interpret your interval in context. O There is a 95% chance that the true difference between the proportion of adults who believe in reincarnation and the proportion of teens who believe in reincarnation is in the interval. Because both endpoints of the confidence interval are positive, we believe that the proportion of adults who believe in reincarnation is less than the proportion of teens aged 13-17 who believe in reincarnation. O we are 95% confident that the true difference between the proportion of adults who believe in reincarnation and the proportion of teens who believe in reincarnation is in the interval. Because both endpoints of the confidence interval are positive, we believe that the proportion of adults who believe in reincarnation is greater than the proportion of teens aged 13- 17 who believe in reincarnation. O There is a 95% chance that the true difference between the proportion of adults who believe in reincarnation and the proportion of teens who believe in reincarnation is in the interval. Because both endpoints of the confidence interval are positive, we believe that the proportion of adults who believe in reincarnation is greater than the proportion of teens aged 13- 17 who believe in reincarnation. O There is a 95% chance that, for people in the sample, the difference between the proportion of adults who believe in reincarnation and the proportion of teens who believe in reincarnation is in the interval. Because both endpoints of the confidence interval are negative, we believe that the proportion of adults in the sample who believe in reincarnation is greater than the proportion of teens aged 13-17 in the sample who believe in reincarnation. O we are 95% confident that, for people in the sample, the difference between the proportion of adults who believe in reincarnation and the proportion of teens who believe in reincarnation is in the interval. Because both endpoints of the confidence interval are positive, we believe that the proportion of adults in the sample who believe in reincarnation is less than the proportion of teens aged 13-17 in the sample who believe in reincarnation.

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Diagonalize the matrices in Exercises 7-20, if possible. The roul eigenvalues for Exercises 11-16 and 18 are included below the matrix.

23 and 24