In a recent study in the US, psychologists took a simple random of 500 Gen X adults and found that 71% of them said they feel hopeful about their future. In an independent simple random sample of 300 Millennials, 76% said they feel hopeful about their future. We want to know whether these two percentages represent a real difference between GenX and Millennials or whether the difference could be due to chance error. Assume you suspected from the beginning that the percentage of Millennials in the general population who feel hopeful about the future is greater than the percentage of Gen X adults who feel hopeful about the future. What is the null hypothesis? What is the SE for the difference between the relevant quantities? If the SE for the difference is 2.7 (it isn't, but use this value for this part), what is the test statistic? If the test statistic is -1.56, what is the p-value? Do you reject the null hypothesis