HW_3_Fall_23

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California State University, Sacramento *

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Sociology

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May 15, 2024

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SWRK110 Statistics and Research for Social Workers Professor Kisun Nam Fall 2023 Homework #3. Comparing the Means: T -test & ANOVA Part I. Reading Journal Articles: Independent t -test (12 points) The first group consisted of 1,430 student drivers enrolled in driver training programs .... The second group consisted of 880 teen drivers who had received a moving violation and were attending traffic school. For both groups, attitudes concerning driving behaviors were covered in a series of questions. Participants were asked to rate six negative driving issues as to how dangerous they perceived them to be .... Rating scores were on a 5-point Likert-type scale, which ranged from least dangerous (1) to most dangerous (5). 1 1. On the average, which group (“Student drivers” or “Traffic violators”) did perceive drunk driving as being more risky? Explain your answer, reporting the statistics from the table above. (2 points) 1 Source: Sarkar, S., & Andreas, M. (2004). Acceptance of and engagement in risky driving behaviors by teenagers. Adolescence , 39 , 687-700. California State University, Sacramento Page 1

SWRK110 Statistics and Research for Social Workers 2. Regarding “Risk of sleepy driving,” is the difference between the “Student drivers” and the “Traffic violators” statistically significant at 0.05 level? Explain your answer, reporting the statistics from the table above. (2 points) 3. List all “Perceptions of Risky Driving Behaviors” that we fail to reject the null hypotheses at p =0.05 level. (2 point) 4. As is customary in journal articles, the researchers did not state the null hypotheses. Write the null hypothesis regarding the “Risk of slow driving.” [Note that your null hypothesis should include 1) DV, 2) IV, and 3) the relationship between DV and IV.] (3 points) 5. Based on the statistics reported in Table 1, do we reject or fail to reject the null hypothesis that you stated in #4 above? Explain your answer, reporting the statistics from the table above. (3 points) Part II. Reading Journal Articles: One-Way ANOVA (13 points) As part of a larger study of family functioning, a total of 104 families (adolescents, mothers, and fathers) participated in this study. All participating families in the current study included an adolescent, the mother, and the father. Adolescents were required to have at least monthly face-to-face contact with their biological mother and their biological father for inclusion .... Participants completed the age-appropriate version of the Harter Self-Perception Profiles, which conceptualize self-esteem as perceived competence in multiple domains. The social acceptance domain assesses participants’ perceptions of feeling accepted by peers, feeling popular, and feeling comfortable around others. The physical appearance domain assesses participants’ self-perceptions of their attractiveness and their satisfaction with their appearance. The athletic competence domain assesses participants’ feelings of their competence in sports and other physical activities. The global self-worth subscale assesses participants' feelings about themselves overall (i.e., not tied to any specific domain...). In order to test for the racial/ethnic group differences..., a series of ANOVAs was completed for each informant (adolescents, mothers, and fathers). Significant ANOVAs were followed up by post hoc Duncan's tests. Note for Post-hoc test . Carefully read the “Note” at the bottom of Table 1. Superscripts report the results of the post-hoc test. Different superscripts (i.e. a vs. b) mean that those two means with the superscripts are statistically significantly different at the 0.05 level in the post-hoc test; same superscripts (i.e. a vs. a) mean that two means are NOT statistically significantly different at p =0.05 level in the post-hoc test. California State University, Sacramento Page 2

SWRK110 Statistics and Research for Social Workers 1. Among the adolescents sample, which race/ethnicity group does show the highest mean score regarding “Global self-worth?” Explain your answer, reporting the statistics from the table above. (2 point) 2. Among the fathers sample, report the F -value on “Social acceptance” from the table above. (1 point) 3. Is the F -value you reported in #2 above statistically significant at p =0.05 level? Explain your answer, reporting the statistics from the table above. (2 points) 4. As is customary in journal articles, the researchers did not state the null hypotheses. Write the null hypothesis regarding the “Physical appearance” among the fathers sample. [Note that your null hypothesis should include 1) DV, 2) IV, and 3) the relationship between DV and IV.] (3 points) 5. Based on the statistics reported in Table 1, do we reject or fail to reject the null hypothesis that you stated in #4 above? Explain your answer, reporting the statistics from the table above. (3 points) California State University, Sacramento Page 3

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