Exam 2 (b) from Fall 2022 (no solutions)

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Jan 9, 2024

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STAT 207 Fall 2022 Exam #2 Name:_____________________________ The dataset for the exam is Drew Campus Life 2022.sav . It is based on a survey administered to students living in residence halls at Drew in Spring 2022. You can refer to the unit of analysis as “Students” or “Drew students.” Questions 1-6 relate to the Exam 2 Campus Life 2022.sav data set and require the use of SPSS. You can refer to the unit of analysis as “Students” or “Drew students.” 1. [10 points] Answer the following questions about the relationship, if there is one, between DormLifeSatis and DiningSatis of students in this dataset. These variables measure satisfaction with dorm life and dining services, respectively. Higher scores indicate greater satisfaction. a. Give the name and value of the most appropriate statistic to evaluate this relationship. Using Cohen’s scale, characterize the strength of the relationship as strong, moderate, weak, or little to none. [Be sure your answer included all three things asked: a statistic’s name , its numerical value , and the strength it indicates.] b. Describe the relationship (or lack of one, if there is none) between DormLifeSatis and DiningSatis in context, as a stand-alone sentence using non-statistical language. 2. [10 points] Answer the following questions about the relationship, if there is one, between D015 and DormLifeSatis in this data set. a. Give the name and value(s) of the statistic(s) appropriate for evaluating this relationship. b. Describe the relationship (or lack of one, if there is none) between D015 and DormLifeSatis in context, as a stand-alone sentence using language that someone who has not taken statistics could understand. 3. [5 points] The value of Spearman’s correlation coefficient between the variables D005 (race/ethnicity) and D006 (international student or not) is –.358. Which of the following is the best description of what this shows? a. There is a moderate, negative relationship between students’ race/ethnicity and their international student status. b. Spearman’s correlation coefficient is not appropriate to use for these variables. c. International students are less likely to be White or Hispanic than non-international students. d. There is little to no relationship between these variables. 4. [10 points] Is there a relationship between whether or not the student is international ( D006 ) and whether or not the student transferred to Drew this academic year ( D012 )? In your answer, report the name and value of at least one appropriate statistic to support your conclusion. If you are using a correlation coefficient, be sure to indicate the direction and strength of the relationship. Provide a description of the relationship in context using terms that someone who has not taken statistics could understand (for example, “there is a positive relationship” is not sufficient), and avoid causal language. 5. (10 points) Create a contingency table for the variables D002 and D006 . Use the table to answer the following questions. (a) What percentage of the students who identified as “Heterosexual or straight” are international? (b) Is there a relationship between these two variables? Explain how you can tell, and if there is a relationship, describe it in context. Support your answer with appropriate statistics . 6. (25 points) Perform a regression analysis that uses DiningSatis (dining satisfaction rating) to predict DormLifeSatis (dorm life satisfaction rating), and use it to answer the following questions.
(a) Write down the regression equation for predicting DormLifeSatis from DiningSatis . Use the variable names; do not use Y and X for the variables in your equation. (b) What is the predicted DormLifeSatis for a student whose DiningSatis rating was 4.2? (c) Interpret the value of the intercept in the context of this problem using language that someone who hasn’t taken statistics would understand or indicate why it would not be meaningful to do so. (d) Report the value of the slope and interpret it in the context of this problem using language that someone who hasn’t taken statistics would understand. (e) In the Data View, find the row corresponding to the student with CASENUM = 3. What is the actual value of DiningSatis for this student? What is the actual value of DormLifeSatis for this student? What is the predicted value of DormLifeSatis for this student, from the regression equation? What is the residual for this student? Did the regression model over-predict or under-predict DormLifeSatis for this student? You do not need SPSS for the remaining questions. 7. (10 points) Use the Excel calculator for this question. You do not need SPSS for this question. (a) In a normal distribution, what proportion (or percentage) of scores have z-scores between –1.1 and 0.5? (b) In a normal distribution with mean 30 and standard deviation 12, what score has percentile rank 70? 8. [10 points] In September, 2021, the Pew Research Foundation published these results of a survey of U.S. adults. Democrats are far more likely than Republicans to have received at least one COVID-19 vaccine dose, though majorities in both groups say they have done so. Among Democrats and independents who lean to the Democratic Party, 86% said they were at least partially vaccinated as of August, compared with six-in-ten Republicans and GOP leaners. a) Among the adults surveyed, was there a relationship between vaccination status and political party affiliation? b) If the relevant survey variables were PARTY (Democratic/lean Democratic = 1, Republican/lean Republican = 2) and VAX (no vaccine dose = 0; at least one vaccine dose = 1), would the correlation coefficient between PARTY and VAX have been negative, positive, or close to zero?
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