GSS 2018 respondents were asked to rate their level of agreement to the statement, “Differences in income in America are too large.” Responses were measured on a 5-point scale: 1 = strongly agree, 2 = agree, 3 = neutral, 4 = disagree, and 5 = strongly disagree. Strong Democrats had an average score of 1.69 (s = 1.04, N = 86) while strong Republicans had an average score of 2.11 (s = 1.05, N = 67). The estimated standard error of the difference between means is 0.17. What is the appropriate test statistic? Why? Test the null hypothesis with a one-tailed test (strong Democrats are more likely to agree with the statement than strong Republicans); α = .05. What do you conclude about the difference in attitudes for these two political groups? If you conducted a two-tailed test with α = .05, would your decision have been different?
GSS 2018 respondents were asked to rate their level of agreement to the statement, “Differences in income in America are too large.” Responses were measured on a 5-point scale: 1 = strongly agree, 2 = agree, 3 = neutral, 4 = disagree, and 5 = strongly disagree. Strong Democrats had an average score of 1.69 (s = 1.04, N = 86) while strong Republicans had an average score of 2.11 (s = 1.05, N = 67).
The estimated standard error of the difference between means
is 0.17.
What is the appropriate test statistic? Why? Test the null hypothesis with a one-tailed test (strong Democrats are more likely to agree with the statement than strong Republicans); α = .05. What do you conclude about the difference in attitudes for these two political groups? If you conducted a two-tailed test with α = .05, would your decision have been different?
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