1. GSS 2014 respondents were asked some people say the following things are impo
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Question
1. GSS 2014 respondents were asked some people say the following things are important for being truly Americans others say they are important. Others say they are not important. How important do you think each of the following is to be a Christian. Responses were measured on a 4 point scale. 1= very important, 2 = fairly important, 3= not very important and 4= not important at all. Those with a high school degree had an average score of 2.35. s=1.21, N= 189, while respondents with a bachelors degree had an average score of 3.05 (s=1.05, N=61). The t statistic is -4.3559 with p<.000 a. What is the appropriate test statistics? Why? b. Test the null hypothesis with one-tailed test. What do you conclude about the difference in attitudes between high school and bachelors degree graduates c. If you conducted a two-tailed test with alpha = .05. would your decision have been different?
2. Based on the 2014 MFT survey we changed social network media usage measured by an ordinal scale: 1 = none, 2 = less than an hour 3 = 1-2 hours, 4 = 3-5 hours, 5 = 6-9 hours, 6 = 10-19 hours , 7 = 20-29 hours 8 = 30-39 hours 9 = 40+ hours, between males and females. Be sure to discuss Levine’s test in your answer as well as interpreting each. Group Statistics Male(1) N = 184 Mean = 3.60 Standard Deviation = 2.382 Standard error mean = .176 Female (2) N = 220 Mean = 5.05 Standard Deviation = 2.568 Standard error mean = .173 Independents sample Test Equal variance assumed F= 2.866 Sig. = .091 t-test for equality of means: t = -5.828 df = 402 Sig (2-tailed)= .000 Mean Difference = -1.447 Standard error difference = .248 95% confidence difference lower= -1.935, Upper = -.959 Equal Variance not assumed t = -5.867 df = 397.706 Sig (2 tailed) = .000 Mean Difference = -1.447 95% confidence difference lower= -1.932, Upper = -.962
a. Interpret the group means for males and females. Which group spends more time on social media
b. Assume alpha =.05 for a two-tailed test. What can you conclude about the difference in social media network usage between the two groups?
c. If alpha were changed to .01, would your step 5 decision change? Explain.
3. The GSS 2014 asked respondents after an average workday, about how many hours do you have to relax or pursue the activities you enjoy? In this exercise, we selected married GSS respondents and calculated the t-test for HRSRELAX. Be sure to discuss Levine’s test in your answer as well as interpreting each. Group Statistics Male N = 126 Mean = 3.56 Standard deviation = 2.566 Standard Error Mean = .229 . Female N = 113 Mean = 2.88 Standard deviation = 2.164 Standard Error Mean = .204
Independent Sample Test
Equal variances assumed Levine’s Test for Equality of variances F = 2.596 Sig = .108
t-test for equality of means: t = 2.225 df = 237, Sig (2 tailed) =.027 Mean Difference = .687, Standard error difference = .309. 95% confidence difference lower= .079, Upper = 1.296
Equal variance not assumed: t = 2.246 DF= 236.126, Sig (2 tailed ) = .026 Mean difference = .687, Standard error difference =.306. 95% confidence difference lower= .084, Upper = 1.290
a. Is there a significant difference between married men and married women in the number of hours they have to relax during the day? Set alpha at .05
b. If alpha was changed to .01, would your step 5 decision change? Explain
Explanation / Answer
1) We are comparing means of two groups with unknow population standard deviation. So appropriate test statistic is t-statistic.
b) For one sided hypothesis testing also p-value <0.000. So mean of bachelor degree score is significantly greater than high school degree score.
c) Since the p- value <0.05, we reject null hypothesis. So the two group means are significantly different from each other.
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