Name: A 2015 Virginia Tech study reported that out of a sample of 252 homes in Flint, Michigan, 42 of them had over 15 ppb of lead in their drinking water. At the 1% significance level, is it indicated that the city of Flint exceeded the EPA standard? Part A: Write the null hypothesis in symbols and in a complete sentence. Part B: Write the alternative hypothesis in symbols and in a complete sentence. Part C: Verify that the conditions for the one-sample z-test for proportions have been met. Part D: Calculate the test statistic and P-value. Part E: Will the null hypothesis be rejected? Explain. Part F: At the 1% significance level, do the data indicate that the city of Flint exceeded the EPA standard? Explain. Why do you think a 1% significance level is used here? Why not 10%? Or 5%? Suppose our sample resulted in a P-value of 0.023. Would it be okay to make a conclusion at the 5% significance level instead? The NIDA was interested in the effects of the 2020 pandemic on drug abuse in teens. In particular, they were interested in understanding the change between pre-pandemic vaping usage and vaping usage three months into the pandemic. Before the pandemic, 24% of 12th graders reported that they had vaped nicotine in the past 30 days. The study included 582 12th graders who anonymously completed the MTF survey. Three months into the pandemic, 17% of 12th graders reported that they had vaped nicotine in the past 30 days. Part A: What is the null hypothesis for the study? Part B: What is the alternative hypothesis? Part C: Calculate the P-value for the test. Part D: At the 5% significance level, do you reject the null hypothesis? Part E: What is the conclusion? Part F: Was your conclusion in Part E statistically significant? Was it practically significant? Part G: Can you be absolutely certain in your conclusion? In other words, can you be absolutely 100% certain of your conclusion