Significance test of a sample mean difference using a 95% confidence interval and t-test This problem involves analyzing the difference between two sample means by calculating the standard error of a sample mean difference, a 95% confidence interval of the sample mean difference, and a t-test of that sample mean difference. The SF State chapter of the College Democratic Socialists of America argue that the fundamental divide in American politics is between rich and poor. Because of this, they think that richer people will have a more favorable view of Speaker Nancy Pelosi than will poorer people. The SF State chapter of the College Libertarian Party argue that Americans are not divided along class lines, and that there will be no significant differences in how rich and poor people view Speaker Pelosi. Use the data below to calculate a t-test of the sample mean difference between rich people and poor people in order to answer which group's argument is supported by the data: . The sample mean Pelosi favorable rating among rich people = 45.8, standard error = 1.5 o The sample mean Pelosi favorable rating among poor people = 40.4, standard error: 1.2 Calculate the observed sample mean difference in Pelosi approval rating between rich people and poor people [one decimal place]: |:| According to the Null Hypothesis, what is the expected sample mean difference in Pelosi approval rating between rich people and poor people? 0-5 00 (No difference) 01 0 ONot enough evidence to say The standard error of the difference between the two sample means = 1.92. Use the standard error of the difference to calculate the 95% confidence interval of the difference between the two sample means. Record your answers below. Calculate the upper bound of the 95% confidence interval of the sample mean difference [two decimal places]: |:| Calculate the lower bound of the 95% confidence interval of the sample mean difference [two decimal places]: |:| Based on your calculation of the 95% CI of the difference in means, should the null hypothesis be rejected or not rejected? OReject the null hypothesis ODo not reject the null hypothesis ONot enough evidence to say Based on your statistical analysis, which group's argument is most supported by the data? OCollege Democrats OCoIlege Libertarians OCoIlege Democratic Socialists ONone of the arguments are supported