Question

My answers are in red, I don't think some of them make sense and can therefore not answer E.

2. GSS respondents were asked "How important do you think it is to be a Christian in order to be truly American." Responses were measures on a 4-point scale (from 1 = not important to 4 = very important). For those with a high school degree, the mean score was 1.65 (standard deviation = 1.21, N = 189). For those with a Bachelors degree, the mean score was.95 (standard deviation = 1.05, N = 61). Is it possible this difference in responses between high school degree and bachelor's degree respondents is simply due to chance? a. State the null hypothesis (Ho) and the research hypothesis (Ha). HO = A degree does not influence the response Ha = A degree does influence the response b. What is the difference in the mean scores of the two groups? 1.65 -.95 = .7 C. Calculate the standard error for the difference in means. The formula is shown below, where si and sz represent the standard deviation of the two groups, and Ni and N2 represent the sample sizes of the two groups. (Hint, the correct sie, will be between 1 and 2, so if that's not you answer, something went wrong). 8.e. + Ni N2 Sqrt((s^2/n)+(5^2/n)) = sqrt((1.21^2/189)+(1.0542/61)) = sqrt(.0077 +.0181) = sqrt(.0258) = .16 d. Calculate the z-score for the difference in means. Z = (Y-he/sxx = (1.65-95)/.16 = 4.38; Y = Ha = 1.65; h0 = .95; Sex = standard error = .16 e. Based on the 2-score, can you reject the null hypothesis and be at least 95% confident that there is a real difference between high school and bachelor's educated Americans in their view of this question. ??

Answer 1

PAGE NO DATE / / d) z Score = XI - X2 SE 1 0i 7 011727 (4.0582 e) Here, Z-score> 1096. Hence, Reject He Yes, we are that there is atleast 95%. Contident real difference betn Bachelor's. a high school