Consider the following conjecture: Multiplying both the numerator and denominator of a fraction by the same (nonzero) number never changes the fraction’s value. Is this conjecture true or false?

A set has 256 subsets. How many elements does it have?

Which of the following survey questions would best be answered as an “open-ended question?”

A set has 1024 subsets. How many elements does it have?

For her dissertation project, Wonjin examined the extent of relationships between neighborhood greenness and the psychological well-being of residents within the 77 neighborhoods of Chicago, IL. What is the independent variable in this study?

Please read the following scenario: Imagine a researcher named Olivia from an RST department. She studies risky leisure behaviors and hopes to learn about alcohol consumption among adolescents. To do this, she will study adolescents who have experienced binge drinking, their teachers, and/or their parents. Olivia’s supervisors are Professors Larson and Kim. These fictitious professors demonstrate two very different approaches to her study. Professor Larson believes that one strength of the research is that engages with people’s subjectivity and that Olivia should be transparent about her own subjectivity to enable readers to make judgments about it. Professor Larson advises Olivia that she will be recording and studying multiple perspectives, descriptions, interactions, and the dynamic way in which people bring issues and problems to life by talking about them or acting around them. Professor Kim’s beliefs are very different. He argues that Olivia’s proper task is to understand the reality of alcohol consumption among adolescents in a way that is as generalizable as possible. Professor Kim believes that Olivia can access participants’ real beliefs, attitudes, and knowledge: that Olivia can, for example, elucidate the essence of the experience of alcohol consumption or that she can determine what teenagers believe about drinking risks by measuring them. Professor Kim disagrees with Professor Larson’s position about subjectivity and transparency in research; in contrast, he strongly advises Olivia to avoid introducing bias and thus inaccuracy to her study. Please answer the following questions:  What are the philosophical worldviews that represent each professor’s beliefs? (2 points) Identify a worldview with which you are most comfortable as a researcher. Explain your reasoning and discuss if your worldview is aligned with your group’s research design (5 points). 

In 2020, you are trying to conduct research about COVID-19 and its impact on college students’ leisure behavior. Since less is known about COVID-19, there exists no previous literature or theories that had been used to explain this phenomenon. Eventually, you want to develop a model, or a theory based on the data you gathered. In this case which scientific research approach should you take?

Please read the following abstract: Latina women, a growing demographic in the United States, are largely absent from literature examining how race, ethnicity, and gender influence sport participation. This research explores how those factors intersect with socioeconomic status and generational status to influence how and when they joined organized sport, which sports they chose, and their perceptions of family support and belonging. Semi-structured interviews with 31 college-educated Latinas who played interscholastic high school sports in the US demonstrate that social class and nativity influence sport choices through habitus. Middle class and native-born families have resources to access organized sport and prioritize participation. Their daughters begin sport at an early age and are well-supported in their athletic careers. Lower-class and immigrant families place a lower value on organized sport and have fewer resources to access opportunities. Class and generation also intersect with gender, race, and ethnicity to influence when women join organized sports and how they make sense of their athletic participation. Please answer the following questions: What is the purpose of the research? (2 point) Who is the target population of the research? (2 point) What are the methods of the research? (2 point)

A set has 512 subsets. How many elements does it have?

Please watch the video and read the description of the Chicago’s Large Lots Program:  The City of Chicago’s “Large Lot Program” is a residential land use approach initiated in 2014 directed at re-purposing vacant lots throughout the city.  Developed as part of the City’s Green Healthy Neighborhoods public planning process, the program allows homeowners on the South or West sides of Chicago to purchase up to two vacant lots for $1. The lots must be on the same block as land they already own. The Large Lot owners have obligations to maintain the property, including paying property taxes and installing a fence.  While the program encourages both open space and built development, most Large Lot owners have used their lots for gardens, play areas, and other green space uses. Research shows that these and other improvements reduce crime, build neighborhood cohesion, and improve aesthetic and environmental values, among other benefits. In addition, the program continues to address problems associated with high-vacancy urban neighborhoods, such as dumping, crime, and other illegal activities, which are threats to the neighborhood’s health and safety.  In order to help guide the program and evaluate its success, answers are needed to the following general research questions: What are Large Lot owners’ visions for their new property? What issues do they anticipate or have already experienced in realizing these visions? In what ways have the purchased lots influenced the health and well-being of Large Lot owners?  The assignment for Part 3: Assume that you and your group are researchers who are interested in learning more about the impacts of Chicago’s Large Lots Program on Chicago’s South and West side neighborhoods. Keep in mind you will design a qualitative research project related to the research questions. Who is your target population in this research? (2 points) Which non-probability sampling technique will you use for this study and why? (3 points) Decide if you think doing in-depth one-on-one interviews or focus groups is a better choice for the research questions and population the question is targeting, why did you choose the one you did? (3 points) How do you ensure that your data collection process (i.e., interview) is reliable/dependable? (3 points) What is the role of reflexivity in ensuring the trustworthiness of qualitative data? (3 points)  What does it mean if you guarantee to your participants that the interview or focus group data will be confidential? Why is this harder for focus groups? (4 points) Assuming you are a group of researchers conducting this study, what would you need to obtain from participants that show they acknowledge that they are aware of how the data is collected and used? (2 points)