1. [8 points] A national survey was conducted among a simple random sample of 1,507 American adults. Results showed that 844 of those sampled think the Civil War is still relevant to American politics and political life. a. Conduct a hypothesis test to determine if these data provide strong evidence that the majority (more than 50%) of American adults think the Civil War is still relevant. Use a significance level of a = 0.05. With appropriate notation, state your hypotheses, test statistic, and p-value. Finally, state your conclusion in a complete sentence. Hypotheses: Ho: Ha: Test statistic: P-value: Conclusion: 2. [4 points] Suppose you decide to test if more than 25% of high school students experience anxiety while taking math tests. Describe in context what a Type I and Type II error would look like in this situation. One sentence for each will suffice. a. Type l error: b. Type ll error: Page 2 of 2 3. [8 points] The scatterplot shows the relationship between socioeconomic status measured as the percentage of children in a neighborhood receiving reduced-fee lunches at school (lunch) and the percentage of bike-riders in the neighborhood wearing helmets (helmet). The average percentage of children receiving reduced-fee lunches is 30.8% with a standard deviation of 26.7% and the average percentage of bike-riders wearing helmets is 38.8% with a standard deviation of 16.9%. 60% 40% Rate of Wearing a Helmet 20% 0% 0% 20% 40% 60% 80% Rate of Receiving a Reduced-Fee Lunch a. If the R for the least-squares regression line for these data is 72%, what is the correlation between lunch and helmet? b. Calculate the slope and intercept for the least-squares regression line for these data. C. Interpret the intercept of the least-squares regression line in the context of the application. d. Interpret the slope of the least-squares regression line in the context of the application