Boost Mobile 5G 6:47 PM 94% -xythos.content.blackboardcdn.com C t. test(income ~ highedu, data=tb, paired=FALSE, var. equal=FALSE, alternative="two. sided") Welch Two Sample t-test # # ## data: income by highedu ## t = -1.9642, df = 47.496, p-value = 0.05537 alternative hypothesis: true difference in means between group @ and group 1 is not equal to 0 ## 95 percent confidence interval: ## -671.611557 7.931557 ## sample estimates: ## mean in group 0 mean in group 1 4269.88 4601.72 Question 1. What was the mean per capita income for relatively well-educated states and poorly educated states, respectively? Which states had higher mean per capita income? (3 points) Question 2. How do you interpret the 95 percent confidence interval shown in the R output? (2 points) Question 3. If we choose a = 0. 05, shall we accept or reject the null hypothesis in the two-tailed test? Any why? What is your conclusion about the relationship between percent of high school graduates and per capita income? (3 points) Now, let's conduct a one-tailed test as the following: t. test(income ~ highedu, data=tb, paired=FALSE, var. equal=FALSE, alternative="less") ## Welch Two Sample t-test ## data: income by highedu ## t = -1.9642, df = 47.496, p-value = 0.02768 ## alternative hypothesis: true difference in means between group @ and group 1 is less than 0 ## 95 percent confidence interval: -Inf -48.42907 ## sample estimates: ## mean in group @ mean in group 1 4269.88 4601.72 6 > G