5. (8 points) A survey of high school students is described in a report. The report states that 14% of those in a sample of students in low-income households and 24% of those in a sample of students in higher income households participated in a science club. Suppose that these samples are representative of high school students in the two income groups and that the two sample sizes were both 500. Use a 90% confidence interval to estimate the difference in the proportion participating in a science club for students in the two income groups. Interpret your results.