A) What are the null and alternative hypotheses? Use proper statistical notation for population means.
B) How many group population means are being compared? How can you tell?
C) How many students in total were surveyed? How can you tell?
D) What is the test statistic and the test statistic value?
E) Show the computation for the test statistic. The numerator is the variability for what? The denominator is the variability for what?
F) Identify the p-value for our test statistic and give your conclusion regarding the hypotheses. Does at least one group population mean differ from the others?
2) We wish to see if political affiliation affects the degree of political activism. Political Affiliation is a categorical variable and Political Degree (of activism) is a quantitative variable with values from 1 to 7.
A) What are the null and alternative hypotheses? Use proper statistical notation for population means.
B) What is the test statistic and the test statistic value?
C) Show the computation for the test statistic. The numerator is the variability for what? The denominator is the variability for what?
D) Identify the p-value for our test statistic and give your conclusion regarding the hypotheses.
E) Look at the group population mean confidence intervals and the pairwise comparisons of group population means. Describe the relationships between the group population means (ie: does one group population mean differ from the others (larger or smaller and by how much?) and what group population means may be the same?) Why can we say this from looking at the confidence intervals?