Chapter 7, Problem 63SE

Good News on Jobs The Pew Research Center reports on a survey taken in late 2013 in which they asked whether respondents have heard "good news" about the job market. They compared those making $\text{\$30,000}$ or less per year with those making between $\text{\$31,000}$ and $\text{\$74,000}$. We'll label the population of those making less than $\text{\$30,000}$ as population 1 (low income), and those making between $\text{\$31,000}$ and $\text{\$74,000}$ as population 2 (middle income). A $95\%$ confidence interval for the difference in proportions, 1 (low) minus 2 (middle), is $\left(-0.08\text{ to }0.02\right).$ Interpret this confidence interval. If the interval contains 0, indicate what this means. Explain the meaning of positive and/or negative values.