In: Statistics and Probability
The GSS 2014 respondents in the U.S. were asked, "How important do you think that being a Christian is for being truly American?" Responses were measured on a 4-point scale: 1=very important, 2=fairly important, 3=not very important, 4=not important at all. We will treat this variable as interval/ratio. Those with a high school degree had an average score of 2.35 (s = 1.21, n = 189). Those with a bachelor’s degree had an average score of 3.05 (s = 1.05, n = 61).
a)State the research and null hypothesis for a one-tailed significance test of means.
b) Calculate the t statistic
c) What is the critical value of t for our one-tailed test of the null hypothesis at the .05 level of significance?
d) If you had conducted a two-tailed test with alpha=.05, would your decision have been different?
A. In a two-tailed test, we would fail to reject the null hypothesis of no difference.
OR
B. In a two-tailed test, we would reject the null hypothesis of no difference.