A survey asks, "How safe do you feel about taking the COVID-19 vaccine?" Responses were measured on a 5-point scale: 1 = not at all, 2 = not very safe, 3 = somewhat safe, 4 = very safe, and 5 = completely safe. Those with a high school degree had an average score of 3.05 (s = 1.21, N = 32) while respondents with a bachelor's degree had an average score of 3.75 (s = 1.05, N = 30).

a. Calculate the one-tailed test (college graduates are more likely to feel safe); using (alpha) = .05. Show your work and provide the t-statistic, t-critical, as well as the degrees of freedom (df).

b. What do you conclude about the difference in attitudes between high school and bachelor's degree graduates? If you conducted a two-tailed test with = .05, would your decision have been different?