7.41
- a.)
- \(H_{0}\): The poverty percentage is not significant predictor of murder rate. \(\beta_{1} = 0\)
- \(H_{A}\): The poverty percentage is a significant predictor of murder rate. \(\beta_{1} \neq 0\)
- b.) Based on the summary chart above, the null hypothesis should be rejected. A Pr value of 0 indicates that its highly the poverty predictor is chance
- c.) The confidence interval means that for each increase in one percent in poverty, the increase in murders per million will be within the range or 1.74 and 3.38, with 95% confidence.
ci_u <- 2.559 + (qt(.975, df = 18) * .39)
ci_l <- 2.559 - (qt(.975, df = 18) * .39)
list(ci_u, ci_l)
## [[1]]
## [1] 3.37836
##
## [[2]]
## [1] 1.73964
- d.) The results do agree with the hypothesis test. The CI does not cross zero which also means that poverty is a predictor of murder rate
